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

The general solution for sin(2x+3/pi)= 1/2 is x=pin+pi/(12)-3/(2pi),x=pin-3/(2pi)+(5pi)/(12)

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sin(2x+3/pi)= 1/2

sin (2 x + \frac{3}{π}) = \frac{1}{2}

x = πn + \frac{π}{12} - \frac{3}{2 π}, x = πn - \frac{3}{2 π} + \frac{5 π}{12}

Solution steps

sin (2 x + \frac{3}{π}) = \frac{1}{2}

General solutions for

sin (2 x + \frac{3}{π}) = \frac{1}{2}

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

Solve

2 x + \frac{3}{π} = \frac{π}{6} + 2 πn : x = πn + \frac{π}{12} - \frac{3}{2 π}

Solve

2 x + \frac{3}{π} = \frac{5 π}{6} + 2 πn : x = πn - \frac{3}{2 π} + \frac{5 π}{12}

x = πn + \frac{π}{12} - \frac{3}{2 π}, x = πn - \frac{3}{2 π} + \frac{5 π}{12}

3 cot (\frac{x}{3}) + 1 = 0

sin (x) = 0.1115

arccos (x) = 11555

sin (A) = - \frac{1}{2}

6 tan (x) + 1 = 4 tan (x) + 3

What is the general solution for sin(2x+3/pi)= 1/2 ?
The general solution for sin(2x+3/pi)= 1/2 is x=pin+pi/(12)-3/(2pi),x=pin-3/(2pi)+(5pi)/(12)