Is cos(2x)-3sin^2(x)=1-5sin^2(x) ?

The answer to whether cos(2x)-3sin^2(x)=1-5sin^2(x) is True

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prove cos(2x)-3sin^2(x)=1-5sin^2(x)

prove

cos (2 x) - 3 sin^{2} (x) = 1 - 5 sin^{2} (x)

True

Solution steps

cos (2 x) - 3 sin^{2} (x) = 1 - 5 sin^{2} (x)

Manipulating left side

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

Rewrite using trig identities

= 1 - 5 sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{1 - sin ( x )}{1 - \frac{1}{s i n ( x )}} = - sin (x)

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

csc (x) - sin (x) = \frac{cot ^{2} ( x )}{csc ( x )}

\frac{cot ( 2 θ )}{cos ( 2 θ )} = csc (2 θ)

(1 + tan^{2} (x)) sin^{2} (x) = tan^{2} (x)

Is cos(2x)-3sin^2(x)=1-5sin^2(x) ?
The answer to whether cos(2x)-3sin^2(x)=1-5sin^2(x) is True