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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

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2 sec (2 x) = tan (\frac{π}{4} + x) + tan (\frac{π}{4} - x)

sin (x) - csc (x) = - (cos (x)) (cot (x))

tan (θ) cot (θ) = cos^{2} (θ) + sin^{2} (θ)

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