## anonymous 5 years ago establish the identity: (sin x)(tan x cos x - cot x cos x) = 1 - 2 cos^2x

1. myininaya

$\sin(x)*(\frac{\sin(x)}{\cos(x)}\cos(x)-\frac{\cos(x)}{\sin(x)}\cos(x))$ $\sin(x)*(\sin(x)-\frac{\cos^2(x)}{\sin(x)})$ $\sin^2(x)-\cos^2(x)$ $1-\cos^2(x)-\cos^2(x)$ $1-2\cos^2(x)$

2. anonymous

Thanks myiniaya!

3. myininaya

np