What is the general solution for -2sin(x)-1=0 ?

The general solution for -2sin(x)-1=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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-2sin(x)-1=0

- 2 sin (x) - 1 = 0

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

Solution steps

- 2 sin (x) - 1 = 0

Move

1

to the right side

- 2 sin (x) = 1

Divide both sides by

- 2

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

3 sin (θ) + cos (θ) = 1

3 csc (x) + 2 = 0

2 cos^{2} (x) = sin (x) - 1

tan (2 x) = 5 sin (2 x)

2 sin^{2} (x) - 7 sin (x) - 4 = 0

What is the general solution for -2sin(x)-1=0 ?
The general solution for -2sin(x)-1=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin