Is cos^2(x)-2sin^2(x)=3cos^2(x)-2 ?

The answer to whether cos^2(x)-2sin^2(x)=3cos^2(x)-2 is True

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prove cos^2(x)-2sin^2(x)=3cos^2(x)-2

prove

cos^{2} (x) - 2 sin^{2} (x) = 3 cos^{2} (x) - 2

True

Solution steps

cos^{2} (x) - 2 sin^{2} (x) = 3 cos^{2} (x) - 2

Manipulating left side

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

Rewrite using trig identities

= 3 cos^{2} (x) - 2

We showed that the two sides could take the same form

\Rightarrow True

sin (x) sec (x) cot (x) = cot (x)

sin (\frac{7 π}{4}) = sin (\frac{- π}{4})

cos (π - θ) = cos (θ)

tan (x) = \frac{4}{5}

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

Is cos^2(x)-2sin^2(x)=3cos^2(x)-2 ?
The answer to whether cos^2(x)-2sin^2(x)=3cos^2(x)-2 is True