Coterminal and Reference Angles

An angle that is exactly 90 degrees.

An angle that is always positive.

An angle that shares the same initial and terminal sides but different measures.

An angle that is always negative.

Multiply the angle by 2.

Add 360 degrees to the given angle.

Divide the angle by 2.

Subtract 360 degrees from the given angle.

-286 degrees

286 degrees

-434 degrees

434 degrees

Because you can keep adding or subtracting multiples of 360 degrees.

Because angles can only be positive.

Because angles can only be negative.

Because angles are always measured in radians.

Check if their difference is a multiple of 2π.

Check if their sum is a multiple of 2π.

Check if their product is a multiple of 2π.

Check if their quotient is a multiple of 2π.

The angle that is always 90 degrees.

The angle that is always 180 degrees.

The angle between the terminal side and the x-axis.

The angle between the initial side and the y-axis.

It must be positive.

It must be less than 90 degrees.

It must be in quadrant one.

It must be greater than 180 degrees.

Divide 132 by 2.

Multiply 132 by 2.

Add 132 to 180.

Subtract 132 from 180.

52 degrees

48 degrees

132 degrees

128 degrees

Multiply the negative angle by -1.

Add 360 degrees to the negative angle.

Find the positive equivalent and then determine the reference angle.

Subtract 360 degrees from the negative angle.