What is 2sin(pi/3+2pin) ?

The solution to 2sin(pi/3+2pin) is sqrt(3)cos(2pin)+sin(2pin)

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simplify 2sin(pi/3+2pin)

simplify

2 sin (\frac{π}{3} + 2 πn)

3 cos (2 πn) + sin (2 πn)

Solution steps

2 sin (\frac{π}{3} + 2 πn)

Rewrite using trig identities

= 2 (\frac{3}{2} cos (2 πn) + \frac{1}{2} sin (2 πn))

Simplify

2 (\frac{3}{2} cos (2 πn) + \frac{1}{2} sin (2 πn)) : 3 cos (2 πn) + sin (2 πn)

= 3 cos (2 πn) + sin (2 πn)

cot (θ - π)

tan (a - \frac{π}{2})

a r tan (\frac{498}{- 492})

e^{l n (\frac{1}{c o s ( x )}) + c}

sin (\frac{π}{4} + \frac{x}{2})

What is 2sin(pi/3+2pin) ?
The solution to 2sin(pi/3+2pin) is sqrt(3)cos(2pin)+sin(2pin)