What is the general solution for sin(3x)= 1/2 ,0<= x<= 1 ?

The general solution for sin(3x)= 1/2 ,0<= x<= 1 is x= pi/(18),x=(5pi)/(18)

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sin(3x)= 1/2 ,0<= x<= 1

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 1

x = \frac{π}{18}, x = \frac{5 π}{18}

Solution steps

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 1

General solutions for

sin (3 x) = \frac{1}{2}

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

Solve

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

Solve

3 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{18} + \frac{2 πn}{3}

x = \frac{π}{18} + \frac{2 πn}{3}, x = \frac{5 π}{18} + \frac{2 πn}{3}

Solutions for the range

0 \leq x \leq 1

x = \frac{π}{18}, x = \frac{5 π}{18}

sec (θ) = - \frac{1}{2}

cos (x) = cos (x - c)

4 cos (120 t) = 0

\frac{3 3}{π} = sec (c)

2 \cdot sin^{2} (x) = sin (x)

What is the general solution for sin(3x)= 1/2 ,0<= x<= 1 ?
The general solution for sin(3x)= 1/2 ,0<= x<= 1 is x= pi/(18),x=(5pi)/(18)