Is cot^4(a)=(cos^4(a))/(sin^4(a)) ?

The answer to whether cot^4(a)=(cos^4(a))/(sin^4(a)) is True

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prove cot^4(a)=(cos^4(a))/(sin^4(a))

prove

cot^{4} (a) = \frac{cos ^{4} ( a )}{sin ^{4} ( a )}

True

Solution steps

cot^{4} (a) = \frac{cos ^{4} ( a )}{sin ^{4} ( a )}

Manipulating left side

cot^{4} (a)

Express with sin, cos

= \frac{cos ^{4} ( a )}{sin ^{4} ( a )}

We showed that the two sides could take the same form

\Rightarrow True

1 + sec^{2} (x) sin (x) = sec^{2} (x)

3 sin (x) = cos (x)

\frac{cot ( x )}{csc ( x ) - sin ( x )} = sec (x)

sin (x) = 5 cos (x)

\frac{sin ( 3 x ) + sin ( 5 x )}{cos ( 3 x ) - cos ( 5 x )} = cot (x)

Is cot^4(a)=(cos^4(a))/(sin^4(a)) ?
The answer to whether cot^4(a)=(cos^4(a))/(sin^4(a)) is True