What is cos(θ)(tan(θ)+cot(θ)) ?

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

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simplify cos(θ)(tan(θ)+cot(θ))

simplify

cos (θ) (tan (θ) + cot (θ))

csc (θ)

Solution steps

cos (θ) (tan (θ) + cot (θ))

Express with sin, cos

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

Rewrite using trig identities

= csc (θ)

\frac{\frac{2}{3}}{- \frac{1}{5} + \frac{1}{2} - ( - \frac{1}{4} )}

\frac{5 ^{2} \cdot 6 + 42}{49 - 65}

1 - x - 1

\frac{11}{121}

3 (3 x + 2) - 2 (3 x + 1)