What is the general solution for sin(x/4)=(sqrt(3))/2 ?

The general solution for sin(x/4)=(sqrt(3))/2 is x=(4pi)/3+8pin,x=(8pi)/3+8pin

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sin(x/4)=(sqrt(3))/2

sin (\frac{x}{4}) = \frac{3}{2}

x = \frac{4 π}{3} + 8 πn, x = \frac{8 π}{3} + 8 πn

Solution steps

sin (\frac{x}{4}) = \frac{3}{2}

General solutions for

sin (\frac{x}{4}) = \frac{3}{2}

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

Solve

\frac{x}{4} = \frac{π}{3} + 2 πn : x = \frac{4 π}{3} + 8 πn

Solve

\frac{x}{4} = \frac{2 π}{3} + 2 πn : x = \frac{8 π}{3} + 8 πn

x = \frac{4 π}{3} + 8 πn, x = \frac{8 π}{3} + 8 πn

cos (θ) = \frac{- 3 + ( - 6 )}{( 9 ) ( 18 )}

sin (\frac{6}{x}) = 36

8 cos (2 x) + 6 = cos^{2} (x) + cos (x)

tan (x) = \frac{200}{500}

cos (2 x) + sin (- x) - 2 = 0

What is the general solution for sin(x/4)=(sqrt(3))/2 ?
The general solution for sin(x/4)=(sqrt(3))/2 is x=(4pi)/3+8pin,x=(8pi)/3+8pin