Question

Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answers. Enter your answers as a comma-separated list.)

Answer 1

(a) Coterminal =495, -225

(b) Coterminal = 135,-585

Explanation:

The angles are:

(a) 135° (b) −225°

The coterminal angle of angle x is derived by:

`Coterminal = x \± 360`

Solving (a): 135°

Substitute 135 for x in
`Coterminal = x \± 360`

`Coterminal =135 \± 360`

Split

`Coterminal =135 + 360, 135 - 360`

`Coterminal =495, -225`

Solving (b): -225°

Substitute -225 for x in
`Coterminal = x \± 360`

`Coterminal =-225 \± 360`

Split

`Coterminal = -225 + 360,-225 - 360`

`Coterminal = 135,-585`