What is sin(θ)(1+cot^2(θ)) ?

The solution to sin(θ)(1+cot^2(θ)) is csc(θ)

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simplify sin(θ)(1+cot^2(θ))

simplify

sin (θ) (1 + cot^{2} (θ))

csc (θ)

Solution steps

sin (θ) (1 + cot^{2} (θ))

Rewrite using trig identities

= csc (θ)

2 \frac{1}{2} + \frac{1}{3}

\frac{x}{x - 5} + \frac{x - 5}{x}

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

6 + x - 17

- \frac{1}{4} + \frac{3}{5} - \frac{1}{3} - \frac{2}{6}