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

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

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

sin (\frac{x}{2} + π) = \frac{3}{2 3}

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

Solution steps

sin (\frac{x}{2} + π) = \frac{3}{2 3}

Simplify

\frac{3}{2 3} : \frac{3}{2}

General solutions for

sin (\frac{x}{2} + π) = \frac{3}{2}

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

Solve

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

Solve

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

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

cos (b) = \frac{cos ( 8 0 ^{\circ} )}{cos ( 5 0 ^{\circ} )}

2 sec^{2} (x) tan (x) - 2 sec^{2} (x) = 0

sin (x) = \frac{10}{18}

tan (2 x) = 2 cos (x)

3 sec^{2} (θ) - 2 tan^{2} (θ) - 4 = 0

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