90° to 180°: reference angle = 180° – angle , 180° to 270°: reference angle = angle – 180° , 270° to 360°: reference angle = 360° – angle .

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 120 degrees?

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

What is the reference angle of 210?

The reference angle is found by calculating the difference between θ and the x-axis. In this problem, 210 is closest to 180, so 210∘−180∘=30∘ .

What is the reference angle of 240?

The reference angle of 240° is 60°.

What is the reference angle of 235?

235 – 180 = 55 degrees. The reference angle for 235 is 55 degrees.

What is the reference angle of 45?

Since 45° is in the first quadrant, the reference angle is 45° .

What is the reference angle of 315?

So, the reference angle is 360∘−315∘=45∘ . ∴ We have found the reference angle for 315 degrees as 45∘ .

What is the reference angle of 200?

Subtract 180 degrees from the angle, which is 200 degrees. You find that 200 – 180 = 20, so the reference angle is 20 degrees.

What is the reference angle of 495?

The coterminal angle is 495° − 360° = 135°. Therefore, the reference angle of 495° is 45°.

What is the reference angle of 40?

Since 40° is in the first quadrant, the reference angle is 40° .

What is the reference angle of 330?

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°.

What is the reference angle for 290?

Since the angle 290° is in the fourth quadrant, subtract 290° from 360° .

What is the reference angle of 30º?

Since 30° is in the first quadrant, the reference angle is 30° .

What is the reference angle for 135?

135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .

What is the reference angle for 63?

Since 63° is in the first quadrant, the reference angle is 63° .

What is the reference angle of 150?

Looking at a graph, a 150° angle lies in quadrant II, therefore the reference angle is θ’ = 180° – 150° = 30°.