What is the general solution for 3sin(2x)=1.5 ?

The general solution for 3sin(2x)=1.5 is x= pi/(12)+pin,x=(5pi)/(12)+pin

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3sin(2x)=1.5

3 sin (2 x) = 1.5

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

Solution steps

3 sin (2 x) = 1.5

Divide both sides by

3

sin (2 x) = 0.5

General solutions for

sin (2 x) = 0.5

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

Solve

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

Solve

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

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

sin (2 x - 5 0^{\circ}) = - \frac{1}{2}

x, cos (x) = \frac{4}{5}

cos (x) = cos (3 \cdot x) + 2 \cdot sin (2 \cdot x)

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

\frac{2}{2} cos (t) = 0

What is the general solution for 3sin(2x)=1.5 ?
The general solution for 3sin(2x)=1.5 is x= pi/(12)+pin,x=(5pi)/(12)+pin