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

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

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2sin(x)=-sqrt(3)

2 sin (x) = - 3

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

Solution steps

2 sin (x) = - 3

Divide 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

3 sec (θ) - 2 = 0

4 cos (x) = 1

sin^{4} (x) = \frac{( cos ^{2} ( x ) )}{2}

cos^{2} (x) - cos (x) - 1 = 0

9 sin (18 x) + 11 = 2

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