Question

How do you simplify `(sinx)(tanx - cscx)(tanx)`?

Answer 1

simplify: sin x(tan x - csc x)tan x

Ans: `sin x - cot x`

Explanation:

Transform the expression:
`sin x(sin x/(cos x) - 1/(sin x))(cos x/(sin x))` =
`= (cos x)(sin^2 x - cos x)/(cos x.sin x) =`
`= sin^2 x/(sin x) - (cos x/(sin x)) = sin x - cot x`