What is csc(x)-cot(x)cos(x) ?

The solution to csc(x)-cot(x)cos(x) is sin(x)

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simplify csc(x)-cot(x)cos(x)

simplify

csc (x) - cot (x) cos (x)

sin (x)

Solution steps

csc (x) - cot (x) cos (x)

Express with sin, cos

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

Rewrite using trig identities

= sin (x)

\frac{- 2 x}{x ^{2}}

(4 x + 6) - (2 x + 4)

30 \cdot 1 0^{- 3}

x^{2} x^{6}

x (x + 3)^{2}