Question

verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation.

(sin x)(tan x cos x- cot x cos x)= 1- 2 cos^2x

Answer 1

\[L.H.S=\sin x \left( \tan x \cos x-\cot x \cos x \right)\]
\[=\sin x \left( \frac{ \sin x }{ \cos x }*\cos x-\frac{ \cos x }{ \sin x }*\cos x\right)=\sin ^2x-\cos ^2x=1-\cos ^2x-\cos ^2x=?\]

Answer 2

-cos^2x-cos^2x= -2cos^2x so it would equal 1-2cos^2x..Thank you!!! @surjithayer

Answer 3

yw

Answer 4

can you help me with some more? I have three more to go..

Answer 5

@surjithayer