Is 1/(1+sin^2(a))+1/(1+csc^2(a))=1 ?

The answer to whether 1/(1+sin^2(a))+1/(1+csc^2(a))=1 is True

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prove 1/(1+sin^2(a))+1/(1+csc^2(a))=1

prove

\frac{1}{1 + sin ^{2} ( a )} + \frac{1}{1 + csc ^{2} ( a )} = 1

True

Solution steps

\frac{1}{1 + sin ^{2} ( a )} + \frac{1}{1 + csc ^{2} ( a )} = 1

Manipulating left side

\frac{1}{1 + sin ^{2} ( a )} + \frac{1}{1 + csc ^{2} ( a )}

Express with sin, cos

= 1

We showed that the two sides could take the same form

\Rightarrow True

sin^{2} (t) + cos^{2} (t) = 1

tan (- x) = tan (x)

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

tan (x) - sec (x) = \frac{sin ( x ) - 1}{cos ( x )}

cos^{2} (2 θ) - sin^{2} (2 θ) = 2 cos^{2} (2 θ) - 1

Is 1/(1+sin^2(a))+1/(1+csc^2(a))=1 ?
The answer to whether 1/(1+sin^2(a))+1/(1+csc^2(a))=1 is True