Is cos^4(x)-sin^4(x)=1-2cos^2(x) ?

The answer to whether cos^4(x)-sin^4(x)=1-2cos^2(x) is False

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prove cos^4(x)-sin^4(x)=1-2cos^2(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

\Rightarrow False

sin (t) = cos (t - \frac{π}{2})

\frac{1}{2 cot ( x ) sin ^{2} ( x )} = csc (2 x)

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

cos (α + β) - cos (α - β) = - 2 sin (α) cos (β)

\frac{cot ( x )}{sin ( x )} = 1

Is cos^4(x)-sin^4(x)=1-2cos^2(x) ?
The answer to whether cos^4(x)-sin^4(x)=1-2cos^2(x) is False