Is 2cos^2(x)-cos(2x)=1 ?

The answer to whether 2cos^2(x)-cos(2x)=1 is True

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prove 2cos^2(x)-cos(2x)=1

prove

2 cos^{2} (x) - cos (2 x) = 1

True

Solution steps

2 cos^{2} (x) - cos (2 x) = 1

Manipulating left side

2 cos^{2} (x) - cos (2 x)

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

- cot^{2} (x) = 1 - csc^{2} (x)

\frac{1}{tan ( 2 θ )} = \frac{cot ^{2} ( θ ) - 1}{2 cot ( θ )}

(1 - cos (θ)) + sin^{2} (θ) = 2

\frac{1}{sec ( θ )} = (sec (θ))^{- 1}

sin^{2} (2 x) = \frac{1}{2 ( 1 - cos ( 4 x ) )}