Question

Find a coterminal angle to `-(2pi)/5" radians"`? a. `104^@` b `150^@` c `288^@` d `72^@`

Answer 1

Selection c) `288^@`

Explanation:

Convert to degrees using the proportion:

`theta/(-(2pi)/5" radians")= 180^@/(pi" radians")`

`theta = -2/5(180^@)`

`theta= -72^@`

Convert to a positive angle by adding `360^@`:

`360^@-72^@ = 288^@`