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

The general solution for 6sin(θ)-3=0 is θ= pi/6+2pin,θ=(5pi)/6+2pin

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6sin(θ)-3=0

6 sin (θ) - 3 = 0

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

cot^{2} (x) - csc (x) = 1

cos (2 x) = - 0.6

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

2 cos (x) = sin (2 x)

sec (θ) + 1 = 0

What is the general solution for 6sin(θ)-3=0 ?
The general solution for 6sin(θ)-3=0 is θ= pi/6+2pin,θ=(5pi)/6+2pin