What is expand 2sim(pi/3+2pin) ?

The solution to expand 2sim(pi/3+2pin) is (2piims)/3+4piimns

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expand 2sim(pi/3+2pin)

expand

2 s im (\frac{π}{3} + 2 πn)

\frac{2 πim s}{3} + 4 πimn s

Solution steps

2 s im (\frac{π}{3} + 2 πn)

= 2 im s (\frac{π}{3} + 2 πn)

Apply the distributive law:

a (b + c) = ab + a c

a = 2 s im, b = \frac{π}{3}, c = 2 πn

= 2 s im \frac{π}{3} + 2 s im \cdot 2 πn

= 2 \cdot \frac{π}{3} im s + 2 \cdot 2 πimn s

Simplify

2 \cdot \frac{π}{3} im s + 2 \cdot 2 πimn s : \frac{2 πim s}{3} + 4 πimn s

= \frac{2 πim s}{3} + 4 πimn s

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

(2 x - 2 y) e^{3 y}

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

5 (1 - e^{- 2 t})

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

What is expand 2sim(pi/3+2pin) ?
The solution to expand 2sim(pi/3+2pin) is (2piims)/3+4piimns