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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Simplify

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

We showed that the two sides could take the same form

\Rightarrow True

\frac{( 1 + cot ^{2} ( x ) )}{sec ^{2} ( x )} = cot^{2} (x)

cot (s) + tan (s) = sec (s) csc (s)

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

sin (u) cos (u) = \frac{1}{2} sin (2 u)

(cot (x) - 1)^{2} = csc^{2} (x) - 2 cot (x)

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