What is the general solution for 1/2 sin(x)=-(sqrt(3))/4 ?

The general solution for 1/2 sin(x)=-(sqrt(3))/4 is x=(4pi)/3+2pin,x=(5pi)/3+2pin

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1/2 sin(x)=-(sqrt(3))/4

\frac{1}{2} sin (x) = - \frac{3}{4}

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

\frac{1}{2} sin (x) = - \frac{3}{4}

Multiply both sides by

2

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

General solutions for

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

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

cos^{2} (x) + 3 cos (x) - 4 = 0

7 sin (x) = cos (x) - 3

sin (a) = \frac{3}{4}

sin (7 x) + sin (x) = 0, 0 \leq x \leq 2 π

t, - 2 sin (t) + 2 cos (2 t) = 0

What is the general solution for 1/2 sin(x)=-(sqrt(3))/4 ?
The general solution for 1/2 sin(x)=-(sqrt(3))/4 is x=(4pi)/3+2pin,x=(5pi)/3+2pin