What is the general solution for -4+4sin(x)=-2 ?

The general solution for -4+4sin(x)=-2 is x= pi/6+2pin,x=(5pi)/6+2pin

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-4+4sin(x)=-2

- 4 + 4 sin (x) = - 2

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

- 4 + 4 sin (x) = - 2

Move

4

to the right side

4 sin (x) = 2

Divide both sides by

4

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

General solutions for

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

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

sin (x + π) + sin (x - π) = 0

cos (y) - sin (y) = 0

36 sin (x) cos (x) = - 93

sin (2 x) = cos (4 x)

6 cos^{2} (θ) + 7 = - 17 cos (θ)

What is the general solution for -4+4sin(x)=-2 ?
The general solution for -4+4sin(x)=-2 is x= pi/6+2pin,x=(5pi)/6+2pin