Enter answers as a commaseparated list Let k be any integer

Enter answers as a comma-separated list. Let k be any integer. Round terms to three decimal places.

sin²() = 6 sin() + 7

Theta = ?

Thank you!

Solution

sin ²theta = 6 sin theta +7

sin²theta - 6 sin theta -7=0

(sin theta-7)(sin theta +1)=0

sin theta=7 , sin theta=1

sin theta=1

theta=sin^-11=2pi k + pi/2