Reference angle of 330

Find the Exact Value sin(330 degrees ) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Find the measurement in degrees of the …Trigonometry. Find the Reference Angle (11pi)/6. 11π 6 11 π 6. Since the angle 11π 6 11 π 6 is in the fourth quadrant, subtract 11π 6 11 π 6 from 2π 2 π. 2π− 11π 6 2 π - 11 π 6. Simplify the result. Tap for more steps... π 6 π 6. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics ...sin(−45) sin ( - 45) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. −sin(45) - sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. − √2 2 - 2 2. The result can be shown in multiple forms.Terminal side is in the third quadrant. When the terminal side is in the third quadrant (angles from 180° to 270° or from π to 3π/4), our reference angle is our given angle minus 180°. So, you can use this formula. Reference angle° = 180 - angle. For example: The reference angle of 190 is 190 - 180 = 10°.Feb 16, 2018 · Add +360 degrees until you have a positive angle, then sketch. The reference angle is the angle from the sketch to the x-axis, in this case, 60 degrees. It makes sense here to state the angle in terms of its positive coterminal angle. To find this, add a positive rotation (360 degrees) until you get a positive angle. -240+360=120 Since 120 is positive, you can stop here. A 120 degree angle is ... 360 - 330 = 30, so we are subtracting 30 degrees from 360 to get the sin inverse, 330. Since we are subtracting from 360, the ratio will remain sin, and because it is in the 4th quadrant, the sin will be negative. Therefore, our answer is −sin(30), or − 1 2. Sorry if this seems confusing, this is how I learnt it. Answer link.

Apr 8, 2022 · Here's the Grid in the four quadrants, you always start off on the plus X. Axis. The angle is plus to go around counterclockwise. So there is 1,82 73 30 ends up back there. This angle is 330°. The reference angle is the angle to the nearest X axis. That's here. So this angle will be 30 degrees To make up 360 and that is the reference angle. Jun 26, 2023 · An angle’s reference angle is the size angle, \(t\), formed by the terminal side of the angle \(t\) and the horizontal axis. See Example. Reference angles can be used to find the sine and cosine of the original angle. See Example. Reference angles can also be used to find the coordinates of a point on a circle. See Example. For sin 150 degrees, the angle 150° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 150° value = 1/2 or 0.5. Since the sine function is a periodic function, we can represent sin 150° as, sin 150 degrees = sin (150° + n × 360°), n ∈ Z. ⇒ sin 150° = sin 510° = sin 870 ...210 degrees is 30 degrees past 180, which means the reference angle is 30 degrees. Example: If we were asked to calculate the reference angle for 330 degrees, we would first sketch it. Next, we would see that it is 30 degrees from 360 degrees, which is the smallest angle to the x-axis and therefore the reference angle.Transcribed Image Text: Find the exact values of the six trigonometic functions for the following angle. 330° sin 330° = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denom Help Me Solve This View an Example Get More Help - Clear %23 a 99+The reference angle for any angle is the smallest positive acute angle between the terminal side and the positive x-axis. To find the reference angle, just draw the angle asked for and then find the minimum of the angle from the x-axis to the terminal side in the clockwise and the counter-clockwise direction.Oct 18, 2017 · Find the reference angle for -30 degrees

The grade would be 0.06. To calculate the grade of a road with: rise = 12 m; and. run = 200 m: Compute the ratio between rise and run: grade = rise/run = 12/200 = 0.06. If you want to know the angle of the slope, input the value in the arctangent function: slope (angle) = arctan (rise/run) = arctan (12/200) = 3.43°.The reference angle for 160º is 20 ... Example: The sine, cosine and tangent of 330° ...Trigonometry. Find the Exact Value sin (240 degrees ) sin(240°) sin ( 240 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(60) - sin ( 60)When an angle is drawn on the coordinate plane with a vertex at the origin, the reference angle is the angle between the terminal side of the angle and the ...Step-by-Step Examples. Trigonometry. Radian Measure and Circular Functions. Find the Reference Angle. 19π 6 19 π 6. Find an angle that is positive, less than 2π 2 π, and coterminal with 19π 6 19 π 6. Tap for more steps... 7π 6 7 π 6. Since the angle π π is in the third quadrant, subtract π π from 7π 6 7 π 6.

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Trigonometry. Find the Exact Value cos (315) cos (315) cos ( 315) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. cos(45) cos ( 45) The exact value of cos(45) cos ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form:Therefore, 80° is the required reference angle of a negative angle of -1000°. If θ in a negative angle -θ is from 0 to 90 degrees, then its reference angle is θ. For example, the reference angle of -78° is 78°. What is the Reference Angle for 7π/6? The calculation to find the reference angle of 7π/6 is given below:How do you find the trigonometric functions of any angle? Well, I guess you could use a special representation of the function through a sum of terms, also known as Taylor Series. It is, basically, what happens in your pocket calculator when you evaluate, for example, #sin (30°)#. Your calculator does this: #sin (theta)=theta-theta^3/ (3 ...The value of tan 330 degrees can be calculated by constructing an angle of 330° with the x-axis, and then finding the coordinates of the corresponding point (0.866, -0.5) on the unit circle. The value of tan 330° is equal to the y-coordinate (-0.5) divided by the x-coordinate (0.866). ∴ tan 330° = -1/√3 or -0.5774.Find the Exact Value sec(330) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 2. The exact value of is . Step 3. Multiply by . Step 4. Combine and simplify the denominator.

Expert Answer 100% (1 rating) Transcribed image text: Without using a calculator, compute the sine and cosine of 330° by using the reference angle. What is the reference angle? …If you know two angles of a triangle, it is easy to find the third one. Since the three interior angles of a triangle add up to 180 degrees you can always calculate the third angle like this: Let's suppose that you know a triangle has angles 90 and 50 and you want to know the third angle. Let's call the unknown angle x. x + 90 + 50 = 180 x ...Find the Reference Angle 330 degrees 330° 330 ° Since the angle 330° 330 ° is in the fourth quadrant, subtract 330° 330 ° from 360° 360 °. 360°− 330° 360 ° - 330 ° Subtract 330 330 from 360 360. 30° 30 °The angle of inclination of the Earth relative to the plane of the Earth’s solar orbit is 23.5 degrees. This angle of inclination, also referred to as the “tilt” or “deviation,” directly influences seasonal variations on the planet.Reference Angle. When an angle is drawn on the coordinate plane with a vertex at the origin, the reference angle is the angle between the terminal side of the angle and the x x -axis. The reference angle is always between 0 0 and \frac {\pi} {2} 2π radians (or between 0 0 and 90 90 degrees). In both these diagrams, the blue angle y y is a ... Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.Reference angles, Quadrant II · Reference angles, Quadrant III · Reference ... 330°. Finally, let's not forget the angle with measure 0°. In increasing order: 0 ...Apr 8, 2022 · Here's the Grid in the four quadrants, you always start off on the plus X. Axis. The angle is plus to go around counterclockwise. So there is 1,82 73 30 ends up back there. This angle is 330°. The reference angle is the angle to the nearest X axis. That's here. So this angle will be 30 degrees To make up 360 and that is the reference angle. Find the Reference Angle (4pi)/3. Step 1. Since the angle is in the third quadrant, subtract from . Step 2. Simplify the result. Tap for more steps... Step 2.1. To write as a fraction with a common denominator, multiply by . Step 2.2. Combine fractions. Tap for more steps... Step 2.2.1. Combine and .Find the Exact Value sin(330 degrees ) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

In order to define this third vector, we need to find. its magnitude (its length), which will be force, in Newtons N, and. its angle, from the positive direction of the ???x???-axis.. To find the magnitude and angle of a resultant force, we. create vector equations for each of the given forces. add the vector equations together to get the vector equation of …

The reference angle for any angle is the smallest positive acute angle between the terminal side and the positive x-axis. To find the reference angle, just draw the angle asked for and then find the minimum of the angle from the x-axis to the terminal side in the clockwise and the counter-clockwise direction.To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. 120°⋅ π 180° 120 ° ⋅ π 180 ° radians. Cancel the common factor of 60 60. Tap for more steps... 2⋅ π 3 2 ⋅ π 3 radians. Combine 2 2 and π 3 π 3. 2π 3 2 π 3 radians. Free math problem solver answers your ...For example, 30° is the reference angle of 150°, and their tangents both have a magnitude of , albeit they have different signs, since tangent is positive in quadrant I but negative in quadrant II. Because all angles have a reference angle, we really only need to know the values of tan⁡ ... 690° - 360° = 330 ...A 360 degree angle is called a full circle. Angles can be measured from zero degrees all the way to 360 degrees because 360 degrees is one full rotation. An angle that measures 180 degrees is referred to as half a circle. A quarter of a cir...Trigonometry. Find the Exact Value cos (315) cos (315) cos ( 315) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. cos(45) cos ( 45) The exact value of cos(45) cos ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form:cos ( 5π 4) cos ( 5 π 4) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant. −cos( π 4) - cos ( π 4) The exact value of cos(π 4) cos ( …The reference angle for any angle is the smallest positive acute angle between the terminal side and the positive x-axis. To find the reference angle, just draw the angle asked for and then find the minimum of the angle from the x-axis to the terminal side in the clockwise and the counter-clockwise direction.The value of tan 330 degrees can be calculated by constructing an angle of 330° with the x-axis, and then finding the coordinates of the corresponding point (0.866, -0.5) on the unit circle. The value of tan 330° is equal to the y-coordinate (-0.5) divided by the x-coordinate (0.866). ∴ tan 330° = -1/√3 or -0.5774.

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tan (330) tan ( 330) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the fourth quadrant. −tan(30) - tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. − √3 3 - 3 3. The result can be shown in multiple forms.Trigonometry. Find the Exact Value sec (225) sec(225) sec ( 225) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the third quadrant. −sec(45) - sec ( 45) The exact value of sec(45) sec ( 45) is 2 √2 2 2. − 2 √2 - 2 2.For example, if the given angle is 330°, then its reference angle is 360° – 330° = 30°. Example: Find the reference angle of 495°. Solution: Let us find the coterminal angle of 495°. The coterminal angle is 495° − 360° = 135°. The terminal side lies in the second quadrant. Thus the reference angle is 180° -135° = 45° Therefore ...Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. Step 2. The exact value of is . Step 3. The result can be …1 day ago · Trigonometry is a branch of mathematics. The word itself comes from the Greek trigōnon (which means "triangle") and metron ("measure"). As the name suggests, trigonometry deals primarily with angles and triangles; in particular, it defines and uses the relationships and ratios between angles and sides in triangles.The primary application is …Find the Exact Value sin (105) sin(105) sin ( 105) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(75) sin ( 75) Split 75 75 into two angles where the values of the six trigonometric functions are known. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity.When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle. So, if our given angle is 332°, then its reference angle is 360° – 332° = 28°.If the angle is in the third quadrant (180° to 270°), the reference angle is the original angle minus 180°. If the angle is in the fourth quadrant (270° to 360°), the reference angle is 360° minus the original angle. To use the Reference Angle Calculator, you need to know the value of the angle in degrees or radians. ….

Trigonometry. Find the Exact Value cos (315) cos (315) cos ( 315) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. cos(45) cos ( 45) The exact value of cos(45) cos ( 45) is √2 2 2 2. √2 2 2 2. The result can be shown in multiple forms. Exact Form:Trigonometry Find the Reference Angle 330 degrees 330° 330 ° Since the angle 330° 330 ° is in the fourth quadrant, subtract 330° 330 ° from 360° 360 °. 360°− 330° 360 ° - 330 ° Subtract 330 330 from 360 360. 30° 30 °Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact Form: Decimal Form:Reference angle for 330°: 30° (π / 6) Reference angle for 335°: 25° Reference angle for 340°: 20° Reference angle for 345°: 15° …Trigonometry Find the Reference Angle sin (330) sin(330) sin ( 330) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. −sin(30) - sin ( 30) The exact value of sin(30) sin ( 30) is 1 2 1 2. −1 2 - 1 2sec(240) sec ( 240) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the third quadrant. −sec(60) - sec ( 60) The exact value of sec(60) sec ( 60) is 2 2. −1⋅2 - 1 ⋅ 2. Multiply −1 - 1 by 2 2. −2 - 2.Precalculus questions and answers. Without using a calculator, compute the sine and cosine of 330° by using the reference angle. What is the reference angle? degrees. In what quadrant is this angle? (answer 1, 2, 3, or 4) sin (330°) = cos (330) (Type sqrt (2) for 2 and sqrt (3) for 3.) (, )x y where the terminal side of the 30o angle intersects the unit circle. This is the point ()3 1 22, , as shown below. We will now repeat this process for a 60o reference angle. We first draw a right triangle that is based on a 60o reference angle, as shown below. We again want to find the values of x and y. The triangle is a 30o-60o-90o ... Reference angle of 330, Evaluate tan(330) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant., Trigonometry. − 5π 6 - 5 π 6. To convert radians to degrees, multiply by 180 π 180 π, since a full circle is 360° 360 ° or 2π 2 π radians. (− 5π 6)⋅ 180° π ( - 5 π 6) ⋅ 180 ° π. Cancel the common factor of π π. Tap for more steps... −5 6 ⋅180 - …, Trigonometry questions and answers. Compute the sine and cosine of 330∘ by using the reference angle. a.) What is the reference angle? degrees. b.)In what quadrant is this …, csc(330°) csc ( 330 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosecant is negative in the fourth quadrant. −csc(30) - csc ( 30) The exact value of csc(30) csc ( 30) is 2 2. −1⋅2 - 1 ⋅ 2. Multiply −1 - 1 by 2 2. −2 - 2., So, as we said: all the coterminal angles start at the same side (initial side) and share the terminal side. The thing which can sometimes be confusing is the difference between the reference angle and coterminal angles definitions.Remember that they are not the same thing – the reference angle is the angle between the terminal side of the …, For cos 330 degrees, the angle 330° lies between 270° and 360° (Fourth Quadrant). Since cosine function is positive in the fourth quadrant, thus cos 330° value = √3/2 or 0.8660254. . . Since the cosine function is a periodic function , we can represent cos 330° as, cos 330 degrees = cos(330° + n × 360°), n ∈ Z., Solve for ? sin (x)=1/2. sin(x) = 1 2 sin ( x) = 1 2. Take the inverse sine of both sides of the equation to extract x x from inside the sine. x = arcsin(1 2) x = arcsin ( 1 2) Simplify the right side. Tap for more steps... x = π 6 x = π 6. The sine function is positive in the first and second quadrants. To find the second solution, subtract ..., It is important to use the three reference angles from the special right triangles to work through ... 225, and 240. Lastly, for quadrant 4 subtract 30, 45, and 60 from 360 to create 330, 315, and ..., And it is this angle we’re trying to calculate in this question. We will call this angle 𝛼. The sum of the magnitude of the directed angle 𝜃 together with the reference angle 𝛼 is a full turn or 360 degrees. In this question, the magnitude or absolute value of negative 330 degrees plus 𝛼 equals 360 degrees. Since the absolute ... , VIDEO ANSWER: Okay, so this question we're asked to find the reference angle for 330 degrees. Let me draw. Coordinate plain so we can visualize 330 degrees. No, this is zero degrees as well as 360 degrees. This is . Download the App! Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite., Trigonometry. Find the Reference Angle -300 degrees. −300° - 300 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −300° - 300 °. Tap for more steps... 60° 60 °. Since 60° 60 ° is in the first quadrant, the reference angle is 60° 60 °. 60° 60 °. Free math problem solver answers your algebra, geometry ... , Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. Step 2. The exact value of is . Step 3. The result can be …, sin(x) = √2 2 sin ( x) = 2 2. Take the inverse sine of both sides of the equation to extract x x from inside the sine. x = arcsin( √2 2) x = arcsin ( 2 2) Simplify the right side. Tap for more steps... x = π 4 x = π 4. The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference ..., Trigonometry. Find the Exact Value tan (240) tan (240) tan ( 240) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. tan(60) tan ( 60) The exact value of tan(60) tan ( 60) is √3 3. √3 3. The result can …, Without using a calculator, compute the sine and cosine of 330∘ by using the reference angle. What is the reference angle? degrees. In what quadrant is this angle? (answer 1 …, Trigonometry. Find the Reference Angle -310 degrees. −310° - 310 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −310° - 310 °. Tap for more steps... 50° 50 °. Since 50° 50 ° is in the first quadrant, the reference angle is 50° 50 °. 50° 50 °. Free math problem solver answers your algebra, geometry ... , The angle 30° lies in the first quadrant. The reference angle is the angle that the given angle makes with the x-axis. When the terminal side of the given angle is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. So, the reference angle of 30° = 30°. Important: the angle unit is set to degrees. , the reference angle measures the closest angle of that terminal side to the x-axis. Since, 108° is in the second quadrant, the reference angle formulae is Ar​=1 ..., Trigonometry. Find the Exact Value sec (225) sec(225) sec ( 225) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the third quadrant. −sec(45) - sec ( 45) The exact value of sec(45) sec ( 45) is 2 √2 2 2. − 2 √2 - 2 2. , Popular Problems. Trigonometry. 5π 3 5 π 3. To convert radians to degrees, multiply by 180 π 180 π, since a full circle is 360° 360 ° or 2π 2 π radians. ( 5π 3)⋅ 180° π ( 5 π 3) ⋅ 180 ° π. Cancel the common factor of π π. Tap for more steps... 5 3 ⋅180 5 3 ⋅ 180. Cancel the common factor of 3 3., Therefore, 80° is the required reference angle of a negative angle of -1000°. If θ in a negative angle -θ is from 0 to 90 degrees, then its reference angle is θ. For example, the reference angle of -78° is 78°. What is the Reference Angle for 7π/6? The calculation to find the reference angle of 7π/6 is given below: , Sep 9, 2015 · 360 - 330 = 30, so we are subtracting 30 degrees from 360 to get the sin inverse, 330. Since we are subtracting from 360, the ratio will remain sin, and because it is in the 4th quadrant, the sin will be negative. Therefore, our answer is −sin(30), or − 1 2. Sorry if this seems confusing, this is how I learnt it. Answer link. , 150° is located in the second quadrant. The angle it makes with the x -axis is 180° − 150° = 30°, so the reference angle is 30°.This tells us that 150° has the same sine and cosine values as 30°, except for the sign. We know that. cos ( 3 0 ∘) = 3 2 a n d sin ( 3 0 ∘) = 1 2., Find the Exact Value sin(330 degrees ) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. , Question: Compute the sine and cosine of 330∘ by using the reference angle. a.) What is the reference angle? degrees. b.)In what quadrant is this angle? (answer 1, 2, 3, or 4) c.) sin (330∘)= d.) cos (330∘)= * (Type sqrt (2) for √2 and sqrt (3) for √3 ** Please show all your work. Compute the sine and cosine of 330∘ by using the ... , Formally, the reference angle of an angle in standard position is the angle formed with the closest portion of the x -axis. Notice that 30 ∘ is the reference angle for many angles. For example, it is the reference angle for 210 ∘ and for − 30 ∘. In general, identifying the reference angle for an angle will help you determine the values ..., tan (330) tan ( 330) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the fourth quadrant. −tan(30) - tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. − √3 3 - 3 3. The result can be shown in multiple forms., A: We have to find the reference angle for the given angles: 330° Reference angle is the positive acute… Q: Find the coordinates of the point on the unit circle at an angle of 225°. A: Solution: The objective is to find the coordinates of the point on the unit circle at an angle of…, The Lexus RX 330 is a popular luxury SUV that has been around since 2003. It has a reputation for being reliable and comfortable, making it a great choice for those looking to buy a used car. However, there are some things to look out for w..., csc(330°) csc ( 330 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosecant is negative in the fourth quadrant. −csc(30) - csc ( 30) The exact value of csc(30) csc ( 30) is 2 2. −1⋅2 - 1 ⋅ 2. Multiply −1 - 1 by 2 2. −2 - 2. , A: We have to find the reference angle for the given angles: 330° Reference angle is the positive acute… Q: Find the coordinates of the point on the unit circle at an angle of …, Coordinate plain so we can visualize 330 degrees. No, this is zero degrees as well as 360 degrees. This is 90 degrees. This is 180 degrees, and this is 270 degrees. So knowing …, Answer and Explanation: 1 Become a Study.com member to unlock this answer! Create your account View this answer Given: tan(330∘) tan ( 330 ∘) The given angle lies in the fourth …