What is expand cot(x)*(cos(2x)-1) ?

The solution to expand cot(x)*(cos(2x)-1) is cos(2x)cot(x)-cot(x)

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expand cot(x)*(cos(2x)-1)

expand

cot (x) \cdot (cos (2 x) - 1)

cos (2 x) cot (x) - cot (x)

Solution steps

cot (x) (cos (2 x) - 1)

Apply the distributive law:

a (b - c) = ab - a c

cot (x) (cos (2 x) - 1) = cot (x) cos (2 x) - cot (x) \cdot 1

= cot (x) cos (2 x) - cot (x) \cdot 1

Simplify

cot (x) cos (2 x) - cot (x) \cdot 1 : cos (2 x) cot (x) - cot (x)

= cos (2 x) cot (x) - cot (x)

2 (22 + 1)

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

4 (10 + 14 + 32)

(x + \frac{5}{2})^{2}

A (5, 3) y B (- 7, - 9)

What is expand cot(x)*(cos(2x)-1) ?
The solution to expand cot(x)*(cos(2x)-1) is cos(2x)cot(x)-cot(x)