Is 1/(1-tan^2(θ))+1/(1-cot^2(θ))=1 ?

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

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prove 1/(1-tan^2(θ))+1/(1-cot^2(θ))=1

prove

\frac{1}{1 - tan ^{2} ( θ )} + \frac{1}{1 - cot ^{2} ( θ )} = 1

True

Solution steps

\frac{1}{1 - tan ^{2} ( θ )} + \frac{1}{1 - cot ^{2} ( θ )} = 1

Manipulating left side

\frac{1}{1 - tan ^{2} ( θ )} + \frac{1}{1 - cot ^{2} ( θ )}

Express with sin, cos

= 1

We showed that the two sides could take the same form

\Rightarrow True

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

\frac{sec ^{2} ( x ) - 6 tan ( x ) + 7}{sec ^{2} ( x ) - 5} = \frac{tan ( x ) - 4}{tan ( x ) + 2}

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

cos (3 A) = 4 cos^{3} (A) - 3 cos (A)

sin (a) cot (a) = cos (a)

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