Which fundamental identities could be used to verify the identity?

Question

tan((pi/2)-x)sin(x)=
cos(x)

Answer 1

tan(pi/2-x)= cotan(x) = 1/tan x= cos x/sinx .So if you multiply by sin x you get cosx

Answer 2

tutor the identity. sin x + cot x cos x = csc x enable's start up with the left hand section. Left Hand section = sin x + cot x cos x = sin²x/sin x + (cos x/sin x) cos x = sin²x/sin x + cos²x/sin x = (sin²x + cos²x)/sin x = a million/sin x = csc x = suitable Hand section