What is the general solution for 1=4-6sin(x) ?

The general solution for 1=4-6sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin

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1=4-6sin(x)

1 = 4 - 6 sin (x)

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

Solution steps

1 = 4 - 6 sin (x)

Switch sides

4 - 6 sin (x) = 1

Move

4

to the right side

- 6 sin (x) = - 3

Divide both sides by

- 6

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

tan (θ) + 1 = 0, 0 \leq θ \leq 2 π

2 - sin (2 θ) = 4 sin (2 θ)

2 sin (θ) cos (θ) + sin (θ) = 0

csc (3 x) - 8 = 0

sin^{2} (x) = tan (x)

What is the general solution for 1=4-6sin(x) ?
The general solution for 1=4-6sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin