An equation is given Enter your answers as a commaseparated

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 1 2 sin() = cos(2) show all work

Solution

1 2 sin() = cos(2)

1- 2sin = 1 -2sin^2

2sin^2 -2sin =0

2sin(sin-1) =0

sin =0

= pi*k

sin =1

= pi/2 +2pi*k

Solution : = pi*k , pi/2 +2pi*k