What is csc^2(x)-csc(x)cot(x) ?

The solution to csc^2(x)-csc(x)cot(x) is 1/(cos(x)+1)

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simplify csc^2(x)-csc(x)cot(x)

simplify

csc^{2} (x) - csc (x) cot (x)

\frac{1}{cos ( x ) + 1}

Solution steps

csc^{2} (x) - csc (x) cot (x)

Express with sin, cos

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

Rewrite using trig identities

= \frac{1}{cos ( x ) + 1}

(- 8 x^{2} - 5 x + 8) - (- 6 x^{2} + 3 x - 3)

(2 x + 5) (- 3 x - 4)

(n + 4)^{2} (3 n^{2} - 7 n + 1)

10 p - 4 (8 p - 2)

14 f^{3} + 42 f^{5} - 77 f^{7}

What is csc^2(x)-csc(x)cot(x) ?
The solution to csc^2(x)-csc(x)cot(x) is 1/(cos(x)+1)