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

The general solution for 1/2-sin(x)=1 is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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1/2-sin(x)=1

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

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

Solution steps

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

Move

\frac{1}{2}

to the right side

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

Divide both sides by

- 1

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

General solutions for

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

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

sin (t) + 2 = 3

tan (3 θ) = - 1

1 + 2 sin (2 x) = 0

2 sech^{2} (x) + tanh (x) = 0

8 cos (2 θ) = - 24 cos (θ) - 16

What is the general solution for 1/2-sin(x)=1 ?
The general solution for 1/2-sin(x)=1 is x=(7pi)/6+2pin,x=(11pi)/6+2pin