What is expand 2sin(a)(cos(3a)+cos(a)) ?

The solution to expand 2sin(a)(cos(3a)+cos(a)) is 2sin(a)cos(3a)+sin(2a)

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expand 2sin(a)(cos(3a)+cos(a))

expand

2 sin (a) (cos (3 a) + cos (a))

2 sin (a) cos (3 a) + sin (2 a)

Solution steps

2 sin (a) (cos (3 a) + cos (a))

Apply the distributive law:

a (b + c) = ab + a c

2 sin (a) (cos (3 a) + cos (a)) = 2 sin (a) cos (3 a) + 2 sin (a) cos (a)

= 2 sin (a) cos (3 a) + 2 sin (a) cos (a)

Simplify

2 sin (a) cos (3 a) + 2 sin (a) cos (a) : 2 sin (a) cos (3 a) + sin (2 a)

= 2 sin (a) cos (3 a) + sin (2 a)

(tan (2 x) + 1) (cos (2 x) - 1)

2 x l e f t (3 x^{2} - 1)

\frac{( s ^{2} + 4 s + 6 )}{s ( s ^{2} + 4 s + 3 )}

(m^{2}) (m^{2})

- \frac{5 ( - 23 m - 12 n + 396 )}{108}

What is expand 2sin(a)(cos(3a)+cos(a)) ?
The solution to expand 2sin(a)(cos(3a)+cos(a)) is 2sin(a)cos(3a)+sin(2a)