What is the general solution for 3=2-2sin(x) ?

The general solution for 3=2-2sin(x) is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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3=2-2sin(x)

3 = 2 - 2 sin (x)

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

Solution steps

3 = 2 - 2 sin (x)

Switch sides

2 - 2 sin (x) = 3

Move

2

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

\frac{cos ( x )}{csc ( x )} + \frac{sin ( x )}{sec ( x )} = 1

cot (θ) = - 8

t, 0 = (1.8) cos (2 π f t)

2 cot (x) cos (x) + 2 cos (x) = cot (x) + 1

tan (θ) - 7 = - 12 cot (θ)

What is the general solution for 3=2-2sin(x) ?
The general solution for 3=2-2sin(x) is x=(7pi)/6+2pin,x=(11pi)/6+2pin