What is the general solution for 6sin(θ)=3+3sin(θ) ?

The general solution for 6sin(θ)=3+3sin(θ) is θ= pi/2+2pin

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6sin(θ)=3+3sin(θ)

6 sin (θ) = 3 + 3 sin (θ)

θ = \frac{π}{2} + 2 πn

Solution steps

6 sin (θ) = 3 + 3 sin (θ)

Solve by substitution

sin (θ) = 1

sin (θ) = 1 : θ = \frac{π}{2} + 2 πn

Combine all the solutions

θ = \frac{π}{2} + 2 πn

sin (θ) = \frac{- 2}{2 2}, 0 \leq θ < 2 π

(sin (θ) + 1) (sin (θ) - 1) = 0

\frac{30}{sin ( x )} = \frac{50}{sin ( 9 0 ^{\circ} )}

cos (θ) = \frac{2 3}{5}

cos (2 x) (sin (x) + \frac{2}{2}) = 0

What is the general solution for 6sin(θ)=3+3sin(θ) ?
The general solution for 6sin(θ)=3+3sin(θ) is θ= pi/2+2pin