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

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

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

simplify

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

sin (x)

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= sin (x)

\frac{2}{4} + \frac{4}{10} + \frac{4}{20}

(2 \frac{1}{2}) (3 \frac{1}{3}) (4 \frac{1}{6})

\frac{\frac{1}{z}}{\frac{z - 3}{3 z}}

x^{2} + 15 x + 14

sin (θ) (csc (θ) - sin (θ))

What is (sec(x))/(tan(x)+cot(x)) ?
The solution to (sec(x))/(tan(x)+cot(x)) is sin(x)