Is ((1+cos(2x)))/(1-cos(2x))=cot^2(x) ?

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

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prove ((1+cos(2x)))/(1-cos(2x))=cot^2(x)

prove

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

True

Solution steps

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

Manipulating left side

\frac{1 + cos ( 2 x )}{1 - cos ( 2 x )}

Rewrite using trig identities

= \frac{cos ^{2} ( x )}{sin ^{2} ( x )}

Rewrite using trig identities

cot^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

2 cos (2 x) - 1 = 1 - 2 sin (2 x)

- 5 cos (0) - 8.6602500000000 \dots sin (0) = - 5

0 sin (\frac{π}{2}) + 1 = cos (2 π)

sin (x) = tan (x) \cdot cos (x)

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

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