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

2 cos^{2} (x) - 3 cos (x) + 1 = 0

sin (x) = cos (2 x)

cos^{3} (x) = cos (x)

2 cos (x) = 1

sin (2 x) sin (x) = cos (x)

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