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

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

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

simplify

cos (x) (tan (x) + cot (x))

csc (x)

Solution steps

cos (x) (tan (x) + cot (x))

Express with sin, cos

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

Rewrite using trig identities

= csc (x)

\frac{\frac{1}{c o s ( x )}}{cos ( x )}

(8 x + 1) (8 x - 1)

1 - \frac{7}{3}

27 + 212

\frac{2 ^{10}}{2 ^{7}}