What is 2cos(x)*(-sin(x)) ?

The solution to 2cos(x)*(-sin(x)) is -sin(2x)

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simplify 2cos(x)*(-sin(x))

simplify

2 cos (x) \cdot (- sin (x))

- sin (2 x)

Solution steps

2 cos (x) (- sin (x))

Apply rule:

a (- b) = - ab

2 cos (x) (- sin (x)) = - 2 cos (x) sin (x)

= - 2 cos (x) sin (x)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= - sin (2 x)

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

lo g_{2} (x - 1) - 3 lo g_{2} (x) - 2 lo g_{2} (x + 1)

(0.3)^{2} + 3.2

- (- 8)

\frac{2 3 + 6 3 - 2 3}{2 + 2}