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

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

*give exact values for your answers*

Respuesta :

gmany
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 2π (360°).
[tex](a)\ \dfrac{27\pi}{10}-2\pi=\dfrac{27\pi}{10}-\dfrac{20\pi}{10}=\dfrac{7\pi}{10}[/tex]
[tex](b)\ 1015^o-2\cdot360^o=295^o[/tex]