What is sin(x)(1+cot^2(x)) ?

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

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simplify sin(x)(1+cot^2(x))

simplify

sin (x) (1 + cot^{2} (x))

csc (x)

Solution steps

sin (x) (1 + cot^{2} (x))

Rewrite using trig identities

= csc (x)

\frac{7}{5} + \frac{3}{5}

(a + b)^{4} - (a - b)^{4}

(2 a - b - c) (2 a - b + c)

\frac{sin ( θ )}{csc ( θ )}

\frac{2 x ^{2} - x - 1}{x ^{2} - 9} \cdot \frac{x + 3}{2 x + 1}