(a.) Find an angle between 0 and 2\pi that is coterminal with 27\pi /10 (b) Find an angle between 0°and 360° that is coterminal with 1015° *give exact values for your answers*

Question

(a.) Find an angle between 0 and 2
`\pi` that is coterminal with 27
`\pi` /10

(b) Find an angle between 0°and 360° that is coterminal with 1015° 

*give exact values for your answers*

Answer 1

To find a positive and a negative angle coterminal with a given angle, you can add and subtract 2π (360°).

`(a)\ (27\pi)/(10)-2\pi=(27\pi)/(10)-(20\pi)/(10)=(7\pi)/(10)`

`(b)\ 1015^o-2\cdot360^o=295^o`