What is 1/(tan(x)+cot(x)) ?

The solution to 1/(tan(x)+cot(x)) is cos(x)sin(x)

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simplify 1/(tan(x)+cot(x))

simplify

\frac{1}{tan ( x ) + cot ( x )}

cos (x) sin (x)

Solution steps

\frac{1}{tan ( x ) + cot ( x )}

Express with sin, cos

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

Rewrite using trig identities

= cos (x) sin (x)

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