Question

4. Prove that sin (cos-1x) = cos (sin-1x)​

Answer 1

Answer:

LHS :-

sin (cos-¹ x)=sin(π/2 -sin-¹x)=cos(sin-¹ x)

sin-¹x+cos-¹x=π/2

and. sin( π/2 -A)=cos A