1+sinx=cosx , [-pi,pi]

Question

solve it using two different methods in radians please 

 

 

Answer 1

Here's one.

 

cos (x) - sin ( x ) = 1. Square both sides

cos² (x) - 2 cos (x) sin ( x ) + sin² (x) = 1

1 - 2 cos (x) sin ( x) = 1x 

-2 cos (x) sin (x) = 0

cos (x) sin (x ) = 0

 

sin (x) = 0, x = 0

cos (x) = 0, x = -π