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

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

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-sin(x)= 1/2

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

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

Solution steps

- 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 (x) sec (x) = 2 sin (x), 0 \leq x \leq 2 π

3 cos^{2} (y) - 1 = cos (y) + cos^{2} (y), π \leq y \leq 2 π

sec^{2} (x) + tan (x) = 1, 0 \leq x \leq 2 π

6 tanh^{2} (x) + 5 sech (x) - 7 = 0

2 sin (x) + 2 = 0, 0 \leq x \leq 2 π

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