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

The general solution for sin(3x)=-0.5 is x=(7pi}{18}+(2pin)/3 ,x=(11pi)/(18)+\frac{2pin)/3

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sin(3x)=-0.5

sin (3 x) = - 0.5

x = \frac{7 π}{18} + \frac{2 πn}{3}, x = \frac{11 π}{18} + \frac{2 πn}{3}

Solution steps

sin (3 x) = - 0.5

General solutions for

sin (3 x) = - 0.5

3 x = \frac{7 π}{6} + 2 πn, 3 x = \frac{11 π}{6} + 2 πn

Solve

3 x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{18} + \frac{2 πn}{3}

Solve

3 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{18} + \frac{2 πn}{3}

x = \frac{7 π}{18} + \frac{2 πn}{3}, x = \frac{11 π}{18} + \frac{2 πn}{3}

5 cos (x) + 23 = 0

tan (x) = \frac{5}{8}

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

cos (x) = \frac{7}{8}

cos (6 x) = 1, 0 \leq x \leq \frac{π}{2}

What is the general solution for sin(3x)=-0.5 ?
The general solution for sin(3x)=-0.5 is x=(7pi}{18}+(2pin)/3 ,x=(11pi)/(18)+\frac{2pin)/3