Is tan^2(x)= 1/(cot^2(x)) ?

The answer to whether tan^2(x)= 1/(cot^2(x)) is True

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prove tan^2(x)= 1/(cot^2(x))

prove

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

True

Solution steps

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

Manipulating right side

\frac{1}{cot ^{2} ( x )}

Express with sin, cos

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

Rewrite using trig identities

tan^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

- sin^{2} (x) + cos^{2} (x) = 0

\frac{1}{1 - sin ( t )} = sec^{2} (t) + sec (t) tan (t)

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

sec^{2} (x) cos (x) - sec (x) = 0

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

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