Is (tan^2(X))/(1+cot^2(X))=sin^4(X) ?

The answer to whether (tan^2(X))/(1+cot^2(X))=sin^4(X) is False

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prove (tan^2(X))/(1+cot^2(X))=sin^4(X)

prove

\frac{tan ^{2} ( X )}{1 + cot ^{2} ( X )} = sin^{4} (X)

False

Solution steps

\frac{tan ^{2} ( X )}{1 + cot ^{2} ( X )} = sin^{4} (X)

Show that the two sides are not equal

For

\frac{tan ^{2} ( X )}{1 + cot ^{2} ( X )} = sin^{4} (X)

plug in

X = 1

\frac{tan ^{2} ( 1 )}{1 + cot ^{2} ( 1 )} = 1.71744 \dots

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

Refine to a decimal form

= 1.71744 \dots

sin^{4} (1) = 0.50136 \dots

sin^{4} (1)

Refine to a decimal form

= 0.50136 \dots

The two sides are not equal

\Rightarrow False

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

1 + cos (6 x) = 2 cos^{2} (3 x)

csc^{3} (x) = \frac{1}{sin ^{3} ( x )}

\frac{sec ( a )}{cot ( a ) + tan ( a )} = sin (a)

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

Is (tan^2(X))/(1+cot^2(X))=sin^4(X) ?
The answer to whether (tan^2(X))/(1+cot^2(X))=sin^4(X) is False