If sin θ θ = cos θ θ , find θ θ between 0o and 360o

If sin $\theta$ = cos $\theta$, find $\theta$ between 0o and 360o

Answer Details

sin $\theta$ = cos $\theta$ 0 $\le$ $\theta$ $\le$ 360o
The acute angle where sin $\theta$ = cos $\theta$ = 45o
But at the fourth Quadrant Cos $\theta$ = +ve
at the 4th quadrant, value with respect to Q is
(360 - Q) where Q = acute angle
(360 - 45) = 315o
The two solution are 45o, 315o