Question

establish the identity: (sin x)(tan x cos x - cot x cos x) = 1 - 2 cos^2x

Answer 1

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

Answer 2

Thanks myiniaya!

Answer 3

np