What is the general solution for sin(2x+60)= 1/2 ?

The general solution for sin(2x+60)= 1/2 is x=-30+pin+pi/(12),x=-30+pin+(5pi)/(12)

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sin(2x+60)= 1/2

sin (2 x + 60) = \frac{1}{2}

x = - 30 + πn + \frac{π}{12}, x = - 30 + πn + \frac{5 π}{12}

Solution steps

sin (2 x + 60) = \frac{1}{2}

General solutions for

sin (2 x + 60) = \frac{1}{2}

2 x + 60 = \frac{π}{6} + 2 πn, 2 x + 60 = \frac{5 π}{6} + 2 πn

Solve

2 x + 60 = \frac{π}{6} + 2 πn : x = - 30 + πn + \frac{π}{12}

Solve

2 x + 60 = \frac{5 π}{6} + 2 πn : x = - 30 + πn + \frac{5 π}{12}

x = - 30 + πn + \frac{π}{12}, x = - 30 + πn + \frac{5 π}{12}

tan^{3} (x) - 3 tan (x) = 0

2 cos (x) = 2 cos (2 x)

6 sin (2 x) = 3

- cos (x) = - sin^{2} (x) - 1, 0 \leq x \leq 2 π

sin (x) + sin^{2} (x) + sin^{3} (x) = 0

What is the general solution for sin(2x+60)= 1/2 ?
The general solution for sin(2x+60)= 1/2 is x=-30+pin+pi/(12),x=-30+pin+(5pi)/(12)