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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Express with sin, cos

= 1

We showed that the two sides could take the same form

\Rightarrow True

sin (3 x) = 1

cos (2 x) + cos (x) = 0

csch (ln (2))

tan (2 x) = 3

x, tan (x) + sec (x) = 2 cos (x)

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