What is the general solution for -2sin(x)-sqrt(3)=0 ?

The general solution for -2sin(x)-sqrt(3)=0 is x=(4pi)/3+2pin,x=(5pi)/3+2pin

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-2sin(x)-sqrt(3)=0

- 2 sin (x) - 3 = 0

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

Solution steps

- 2 sin (x) - 3 = 0

Move

3

to the right side

- 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

9 cos^{2} (x) - 9 cos (x) - 18 = 0

sec (x) = \frac{( 2 3 )}{3}

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

- sin (2 θ) + 2 cos (θ) = 0

2 sin (x) + 2 cos (x) = 1

What is the general solution for -2sin(x)-sqrt(3)=0 ?
The general solution for -2sin(x)-sqrt(3)=0 is x=(4pi)/3+2pin,x=(5pi)/3+2pin