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

The general solution for -2sin(x)=-sqrt(2) is x= pi/4+2pin,x=(3pi)/4+2pin

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

- 2 sin (x) = - 2

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Solution steps

- 2 sin (x) = - 2

Divide both sides by

- 2

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

General solutions for

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

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

sin (π - x) = cos (\frac{3 π}{2} - x) + cos (π)

4 csc (x) + 8 = 0

2 cos (2 θ) + 3 = 2

sin (\frac{3 π}{2} - 2 x) = sin (x)

α, sin (α) - sin (β) = cos (β) - cos (α)

What is the general solution for -2sin(x)=-sqrt(2) ?
The general solution for -2sin(x)=-sqrt(2) is x= pi/4+2pin,x=(3pi)/4+2pin