solve for x , -180<x<180

2cos x+1= sin x

This is what i did ..

sin x -2 cos x=1

$\displaystyle \sqrt{5}\sin (x-63.43)=1$

so x-63.43=26.57

x=90

and x-63.43=-26.57 , -153.43

x=36.86 , -90

My answers are in red . But tat doesn't agree with the answer in the book . Thanks for helping .