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

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

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prove (csc^2(A))/(1+tan^2(A))=cot^2(A)

prove

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

True

Solution steps

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

Manipulating left side

\frac{csc ^{2} ( A )}{1 + tan ^{2} ( A )}

Rewrite using trig identities

= \frac{csc ^{2} ( A )}{sec ^{2} ( A )}

Express with sin, cos

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

Rewrite using trig identities

cot^{2} (A)

We showed that the two sides could take the same form

\Rightarrow True

sin (3 a) = 3 sin (a) - 4 sin^{3} (a)

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

\frac{1}{tan ( θ ) csc ( θ )} = cos (θ)

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

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

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