What is the general solution for sin(2x+3)=0.5 ?

The general solution for sin(2x+3)=0.5 is x=pin-3/2+pi/(12),x=pin-3/2+(5pi)/(12)

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sin(2x+3)=0.5

sin (2 x + 3) = 0.5

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

Solution steps

sin (2 x + 3) = 0.5

General solutions for

sin (2 x + 3) = 0.5

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

Solve

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

Solve

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

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

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

x, 4 sin (x) cos (x) = 1

sin (θ) = - 3

\frac{sin ( 4 0 ^{\circ} )}{8} = \frac{sin ( x )}{12}

y, \frac{3}{2} = sin (y)

What is the general solution for sin(2x+3)=0.5 ?
The general solution for sin(2x+3)=0.5 is x=pin-3/2+pi/(12),x=pin-3/2+(5pi)/(12)