What is the general solution for 2sin(x/2+pi/3)=sqrt(3) ?

The general solution for 2sin(x/2+pi/3)=sqrt(3) is x=4pin,x=4pin+(2pi)/3

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2sin(x/2+pi/3)=sqrt(3)

2 sin (\frac{x}{2} + \frac{π}{3}) = 3

x = 4 πn, x = 4 πn + \frac{2 π}{3}

Solution steps

2 sin (\frac{x}{2} + \frac{π}{3}) = 3

Divide both sides by

2

sin (\frac{x}{2} + \frac{π}{3}) = \frac{3}{2}

General solutions for

sin (\frac{x}{2} + \frac{π}{3}) = \frac{3}{2}

\frac{x}{2} + \frac{π}{3} = \frac{π}{3} + 2 πn, \frac{x}{2} + \frac{π}{3} = \frac{2 π}{3} + 2 πn

Solve

\frac{x}{2} + \frac{π}{3} = \frac{π}{3} + 2 πn : x = 4 πn

Solve

\frac{x}{2} + \frac{π}{3} = \frac{2 π}{3} + 2 πn : x = 4 πn + \frac{2 π}{3}

x = 4 πn, x = 4 πn + \frac{2 π}{3}

x, 4 sin^{4} (x) - 8 sin^{2} (x) + 3 = 0

3 + 3 sin (θ) = 3 - 3 sin (θ)

\frac{sin ( C )}{18} = \frac{sin ( 6 3 ^{\circ} )}{17}

cos (\frac{1}{2} x) = - 1

\frac{- ( 3 \cdot cos ( Q ^{1} ) )}{2} = 0

What is the general solution for 2sin(x/2+pi/3)=sqrt(3) ?
The general solution for 2sin(x/2+pi/3)=sqrt(3) is x=4pin,x=4pin+(2pi)/3