Question

the simplification of cos(90-A) sin(90-A/Tan(90-A) is ____​

Answer 1

Answer:

Step-by-step explanation:

we know, cos(90° - θ) = sinθ , sin(90° - θ) = cosθ

and tan(90° - θ) = cotθ .

now from above concepts

cos(90° - A) = sinA ------(1)

sin(90° - A) = cosA ------(2)

tan(90° - A) = cotA ------(3)

LHS = cos(90 - A).sin(90 - A)/tan(90 - A)

= sinA.cosA/cotA [ from (1), (2) and (3)]

= sinA.cosA/(cosA/sinA)

= sin²A = RHS