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

The general solution for sin(x)=-1/2 sqrt(2) is x=(5pi)/4+2pin,x=(7pi)/4+2pin

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sin(x)=-1/2 sqrt(2)

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

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

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

Simplify

- \frac{1}{2} 2 : - \frac{2}{2}

General solutions for

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

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

(6 cos (x) + 5 sin (x))^{2} + 11 sin^{2} (x) = 66

- 3 sin (B) - 2 = sin (B) - 2

sin (\frac{θ}{2}) = 2 - sin (\frac{θ}{2})

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

(tan (x) + 1) (2 sin (x) - 1) = 0

What is the general solution for sin(x)=-1/2 sqrt(2) ?
The general solution for sin(x)=-1/2 sqrt(2) is x=(5pi)/4+2pin,x=(7pi)/4+2pin