What is expand tan(x)(cot(x)-cos(x)) ?

The solution to expand tan(x)(cot(x)-cos(x)) is cot(x)tan(x)-sin(x)

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expand tan(x)(cot(x)-cos(x))

expand

tan (x) (cot (x) - cos (x))

cot (x) tan (x) - sin (x)

Solution steps

tan (x) (cot (x) - cos (x))

Apply the distributive law:

a (b - c) = ab - a c

tan (x) (cot (x) - cos (x)) = tan (x) cot (x) - tan (x) cos (x)

= tan (x) cot (x) - tan (x) cos (x)

Simplify

tan (x) cot (x) - tan (x) cos (x) : cot (x) tan (x) - sin (x)

= cot (x) tan (x) - sin (x)

(x + 2)^{2}

\frac{( x - 1 ) ^{3}}{x ^{2}}

\frac{6}{( s ^{2} + 4 s + 20 ) ^{2}}

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

(x + 3)^{2}

What is expand tan(x)(cot(x)-cos(x)) ?
The solution to expand tan(x)(cot(x)-cos(x)) is cot(x)tan(x)-sin(x)