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

The general solution for 2sin(x-pi/3)=1 is x=2pin+pi/2 ,x=2pin+(7pi)/6

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2sin(x-pi/3)=1

2 sin (x - \frac{π}{3}) = 1

x = 2 πn + \frac{π}{2}, x = 2 πn + \frac{7 π}{6}

Solution steps

2 sin (x - \frac{π}{3}) = 1

Divide both sides by

2

sin (x - \frac{π}{3}) = \frac{1}{2}

General solutions for

sin (x - \frac{π}{3}) = \frac{1}{2}

x - \frac{π}{3} = \frac{π}{6} + 2 πn, x - \frac{π}{3} = \frac{5 π}{6} + 2 πn

Solve

x - \frac{π}{3} = \frac{π}{6} + 2 πn : x = 2 πn + \frac{π}{2}

Solve

x - \frac{π}{3} = \frac{5 π}{6} + 2 πn : x = 2 πn + \frac{7 π}{6}

x = 2 πn + \frac{π}{2}, x = 2 πn + \frac{7 π}{6}

tan (θ) = 2.7

4 (1 + sin (θ)) = cos^{2} (θ)

4 csc (θ) + 4 = 0

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

tan^{2} (x) = cot (x)

What is the general solution for 2sin(x-pi/3)=1 ?
The general solution for 2sin(x-pi/3)=1 is x=2pin+pi/2 ,x=2pin+(7pi)/6