Question

How do you simplify `cot(π/2 -x)cosx`?

Answer 1

sin x

Explanation:

`P = cos (pi/2 - x)/(sin (pi/2 - x))(cos x )=`
Property of complementary arcs:
`cos (pi/2 - x) = sin x`
`sin (pi/2 - x) = cos x`
Therefor,
`P = (sin x/(cos x))cos x = sin x`