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How do you find the Coterminal angle of a reference angle?

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How do you find the Coterminal angle of a reference angle?

Coterminal angles are equal angles. To find a coterminal of an angle, add or subtract \(360\) degrees (or \(2π\) for radians) to the given angle. Reference angle is the smallest angle that you can make from the terminal side of an angle with the \(x\)-axis.

How do you find the reference angle of 640?

Trigonometry Examples Find an angle that is positive, less than 360° , and coterminal with 640° . Subtract 360° 360 ° from 640° 640 ° . The resulting angle of 280° 280 ° is positive, less than 360° 360 ° , and coterminal with 640° 640 ° .

How do you find the reference angle of a pie?

If angle A is in quadrant II then the reference angle A r = 180° – A if A is given degrees and A r = π – A if A is given in radians. 3. If angle A is in quadrant III then the reference angle A r = A – 180° if A is given degrees and A r = A – π if A is given in radians.

What is the reference angle for 120?

Since the angle 120° is in the second quadrant, subtract 120° from 180° .

What is the reference angle of 240 degrees?

The reference angle of 240° is 60°. To find the reference angle of a given angle, A, with measure x°, we start by adding or subtracting…

What is the reference angle for 640 {\ circ 640?

640°−360°=280° .

What is the reference angle of 185?

5°
Reference angle for 180°: 0° Reference angle for 185°: 5°

What is the reference angle of 235?

55 degrees
The reference angle for 235 is 55 degrees. If the terminal side of the angle is in the fourth quadrant, we take the angle and subtract it from 360 degrees.

What is reference angle and examples?

For example, to find the reference angle of -1000°, we will add 360° three times to it. It implies, – 1000° + 3(360°) = -1000° + 1080° = 80°. 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.

What is the reference angle of 570?

Subtract 360° 360 ° from 570° 570 ° . The resulting angle of 210° 210 ° is positive, less than 360° 360 ° , and coterminal with 570° 570 ° .

What is the reference angle of 330?

30°
Since 330 is thirty less than 360, and since 360° = 0°, then the angle 330° is thirty degrees below (that is, short of) the positive x-axis, in the fourth quadrant. So its reference angle is 30°.