What is (csc(x)cos(x))/(tan(x)+cot(x)) ?

The solution to (csc(x)cos(x))/(tan(x)+cot(x)) is cos^2(x)

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simplify (csc(x)cos(x))/(tan(x)+cot(x))

simplify

\frac{csc ( x ) cos ( x )}{tan ( x ) + cot ( x )}

cos^{2} (x)

Solution steps

\frac{csc ( x ) cos ( x )}{tan ( x ) + cot ( x )}

Express with sin, cos

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

Rewrite using trig identities

= cos^{2} (x)

sec^{4} (x) - tan^{4} (x)

\frac{( 5 i ) ^{4}}{( 4 - 3 i ) ^{2}}

1 - 2 sin^{2} (x)

\frac{sec ^{2} ( x ) - 1}{sec ^{2} ( x )}

What is (csc(x)cos(x))/(tan(x)+cot(x)) ?
The solution to (csc(x)cos(x))/(tan(x)+cot(x)) is cos^2(x)