What is the general solution for 4sin(3θ)=0 ?

The general solution for 4sin(3θ)=0 is θ=(2pin)/3 ,θ= pi/3+(2pin)/3

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4sin(3θ)=0

4 sin (3 θ) = 0

θ = \frac{2 πn}{3}, θ = \frac{π}{3} + \frac{2 πn}{3}

Solution steps

4 sin (3 θ) = 0

Divide both sides by

4

sin (3 θ) = 0

General solutions for

sin (3 θ) = 0

3 θ = 0 + 2 πn, 3 θ = π + 2 πn

Solve

3 θ = 0 + 2 πn : θ = \frac{2 πn}{3}

Solve

3 θ = π + 2 πn : θ = \frac{π}{3} + \frac{2 πn}{3}

θ = \frac{2 πn}{3}, θ = \frac{π}{3} + \frac{2 πn}{3}

tan (2 θ) + 2 cos (θ) = 0, 0 \leq θ < 2 π

- \frac{3}{2} = cos (θ)

tan (\frac{5 π}{4} + x) + tan (\frac{5 π}{4} - x) = 4

- 8 cos (8 x) = 0

sec^{2} (x) - 4 = 0, 0 \leq x \leq 2 π

What is the general solution for 4sin(3θ)=0 ?
The general solution for 4sin(3θ)=0 is θ=(2pin)/3 ,θ= pi/3+(2pin)/3