Prove:

(tanx)(sinx) / (tanx) + (sinx) = (tanx) - (sinx) / (tanx)(sinx)

What I have so far:

L.S.
= (sinx / cosx) sinx / (sinx / cosx) + sinx
= (sin^2x / cosx) / (sinx + (sinx) (cosx) / cosx)
= (sin^2x / cosx) / (cosx / sinx + sinxcosx)

1 answer

your equation is not an identity the way you wrote it,

try substituting any angle into the equation, it will not satisfy the equation.

The way you wrote it,
LS reduces to simply 2sinx

use brackets to identify the exact order of operation.