Question

sin $({45}^o+\theta )$ - cos $({45}^o-\theta )$ = ?

(a) 2 sin $\theta$ (a) 2 sin $\theta$ (c) 0 (d) 1

Answer 1

$sin({45}^o+\theta )-cos({45}^o-\theta )=sin({45}^o+\theta )-sin({90}^o-({45}^o-\theta \left)\right)=sin({45}^o+\theta )-sin({45}^o+\theta )=0$