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

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

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3sin(θ)+3=3

3 sin (θ) + 3 = 3

θ = 2 πn, θ = π + 2 πn

Solution steps

3 sin (θ) + 3 = 3

Subtract

3

from both sides

3 sin (θ) + 3 - 3 = 3 - 3

Simplify

3 sin (θ) = 0

Divide both sides by

3

sin (θ) = 0

General solutions for

sin (θ) = 0

θ = 0 + 2 πn, θ = π + 2 πn

Solve

θ = 0 + 2 πn : θ = 2 πn

θ = 2 πn, θ = π + 2 πn

6 cos^{2} (x) + 12 cos (x) + 6 = 0

9 cos^{2} (x) + sin^{2} (x) = 3

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

tan^{2} (θ) = 1 - sec^{2} (θ)

x, sin (4 x) = 0

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