What is the general solution for 6sin(θ)+3=0 ?

The general solution for 6sin(θ)+3=0 is θ=(7pi)/6+2pin,θ=(11pi)/6+2pin

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6sin(θ)+3=0

6 sin (θ) + 3 = 0

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

Solution steps

6 sin (θ) + 3 = 0

Move

3

to the right side

6 sin (θ) = - 3

Divide both sides by

6

sin (θ) = - \frac{1}{2}

General solutions for

sin (θ) = - \frac{1}{2}

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

2 cos (x) + sin (2 x) = 0

sin (3 θ) = - \frac{1}{2}

sin (x) (2 + 2 cos (x)) = 0

sec^{2} (x) + 5 tan (x) = 7

3 sin (2 x) - 2 cos (x) = 0

What is the general solution for 6sin(θ)+3=0 ?
The general solution for 6sin(θ)+3=0 is θ=(7pi)/6+2pin,θ=(11pi)/6+2pin