solutions of the equation that are in the interval [0, 2p)0.[sinx +cos x = 0 ]

Question

not seeming to get this problem

Answer 1

sin x + cos x = 0

 

        - cos x     -cos x

 

sin x = -cos x

/cos x       /cos x

 

 

tan x = -1

 

x = arctan -1 = 3π/4, 7π/4