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Popular >

expand-cos(v)sin(u)(2cos(v)+cos(v)cos(u))

Solution

expand

- cos (v) sin (u) (2 cos (v) + cos (v) cos (u))

Solution

- 2 cos^{2} (v) sin (u) - cos^{2} (v) cos (u) sin (u)

Solution steps

- cos (v) sin (u) (2 cos (v) + cos (v) cos (u))

Apply the distributive law:

a (b + c) = ab + a c

- cos (v) sin (u) (2 cos (v) + cos (v) cos (u)) = - cos (v) sin (u) \cdot 2 cos (v) - cos (v) sin (u) cos (v) cos (u)

= - cos (v) sin (u) \cdot 2 cos (v) - cos (v) sin (u) cos (v) cos (u)

Simplify

- cos (v) sin (u) \cdot 2 cos (v) - cos (v) sin (u) cos (v) cos (u) : - 2 cos^{2} (v) sin (u) - cos^{2} (v) cos (u) sin (u)

= - 2 cos^{2} (v) sin (u) - cos^{2} (v) cos (u) sin (u)

Popular Examples

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

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(sin (2 t) + 2 sin (t)) \cdot (2 sin (t) - 2 sin (2 t))

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\frac{s + 1}{( s + 30 ) ( s ^{2} + s + 1 ) ( s + 15 )}

expand (-3a^2b+8b)(-9a+5)^'expand

(- 3 a^{2} b + 8 b) (- 9 a + 5)^{^{'}}

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Frequently Asked Questions (FAQ)

What is expand-cos(v)sin(u)(2cos(v)+cos(v)cos(u)) ?
The solution to expand-cos(v)sin(u)(2cos(v)+cos(v)cos(u)) is -2cos^2(v)sin(u)-cos^2(v)cos(u)sin(u)