What is the general solution for 10sin(3x)=5 ?

The general solution for 10sin(3x)=5 is x= pi/(18)+(2pin)/3 ,x=(5pi}{18}+\frac{2pin)/3

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10sin(3x)=5

10 sin (3 x) = 5

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

Solution steps

10 sin (3 x) = 5

Divide both sides by

10

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

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}

4 0^{2} = 2 8^{2} + 1 5^{2} - 2 (28) (15) \cdot cos (x)

5 tan^{2} (x) - 1 = 2 tan^{2} (x)

5 sin (2 x) + 8 cos (x) = 0

cos^{2} (x) tan^{2} (x) csc^{2} (x) = sin (x)

cos (a) - sin (a) = cot (a) cos (a)

What is the general solution for 10sin(3x)=5 ?
The general solution for 10sin(3x)=5 is x= pi/(18)+(2pin)/3 ,x=(5pi}{18}+\frac{2pin)/3