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

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

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

- 2 sin (x) + 3 = 0

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

sin (θ) = \frac{4}{5}, cos (θ) = \frac{3}{5}

sec (2 x) + tan (2 x) = 8

cos (θ) = \frac{1}{12}

sin (θ) = - \frac{8}{9}

2 sin^{2} (x) + 5 sin (x) - 12 = 0

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