Is 6cos^2(x)-6sin^2(x)=12cos^2(x)-6 ?

The answer to whether 6cos^2(x)-6sin^2(x)=12cos^2(x)-6 is True

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prove 6cos^2(x)-6sin^2(x)=12cos^2(x)-6

prove

6 cos^{2} (x) - 6 sin^{2} (x) = 12 cos^{2} (x) - 6

True

Solution steps

6 cos^{2} (x) - 6 sin^{2} (x) = 12 cos^{2} (x) - 6

Manipulating left side

6 cos^{2} (x) - 6 sin^{2} (x)

Rewrite using trig identities

= 12 cos^{2} (x) - 6

We showed that the two sides could take the same form

\Rightarrow True

sin (θ) cot (θ) sec (θ) = 1

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

\frac{sin ^{2} ( a )}{1 - cos ( a )} = 1 + cos (a)

tan (8 θ) - tan (8 θ) tan^{2} (4 θ) = 2 tan (4 θ)

sec (x) = \frac{cot ( x ) + tan ( x )}{csc ( x )}

Is 6cos^2(x)-6sin^2(x)=12cos^2(x)-6 ?
The answer to whether 6cos^2(x)-6sin^2(x)=12cos^2(x)-6 is True