## How do you find the reference angle of 450 degrees?

Subtract 360° 360 ° from 450° 450 ° . The resulting angle of 90° 90 ° is positive, less than 360° 360 ° , and coterminal with 450° 450 ° .

## What is the reference angle of 465 degrees?

Trigonometry Examples

Subtract 360° 360 ° from 465° 465 ° . The resulting angle of 105° 105 ° is positive, less than 360° 360 ° , and coterminal with 465° 465 ° .

## What is the reference for 400 degrees?

Trigonometry Examples

Subtract 360° 360 ° from 400° 400 ° . The resulting angle of 40° 40 ° is positive, less than 360° 360 ° , and coterminal with 400° 400 ° .

## What is a 270 angle?

270 Degree Angle

This is an example of a “reflex angle,” which is any angle that measures between 180 and 360 degrees. A 270 degree angle goes 3/4 of the way around a circle, and forms a right angle with one vertical and one horizontal line.

## What is the Coterminal angle of 400 degree?

Coterminal of angle 400∘=400±(n⋅360) where n is an integer.

## What is the reference angle of degrees?

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

## What is the negative Coterminal angle of 400 degrees?

The negative coterminal angle of 400∘ is −320∘

## How do you find the reference angle?

So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°.

## What is a 40 angle?

Three Main Types of Angles

Acute – any angle which measures less than 90 degrees. These angles appear “sharp,” like the blade on a knife. Example: The angle ABC measures 40 degrees. Angle ABC is acute. … Obtuse – any angle which measures more than 90 degrees but less than 180 degrees.

## Which angles are Coterminal with an angle measure of 2π3?

Coterminal angle of 120° (2π / 3): 480°, 840°, -240°, -600° Coterminal angle of 135° (3π / 4): 495°, 855°, -225°, -585°

## What is the reference angle of 480?

60°
Thus, the reference angle of 480° is 60°.

## 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 the reference angle of 510 degrees?

Trigonometry Examples

Find an angle that is positive, less than 360° , and coterminal with 510° . Subtract 360° 360 ° from 510° 510 ° . The resulting angle of 150° 150 ° is positive, less than 360° 360 ° , and coterminal with 510° 510 ° .

## What is the reference angle of 315 degrees?

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

## Is 450 degrees a Quadrantal angle?

The axes of a Cartesian coordinate plane are the boundaries of the quadrants and do not belong to any quadrant. Thus, the angular measure of 450∘ is on the + y-axis and not on any quadrant.