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Popular >

3|sin(3θ)|=0

Solution

3 ∣ sin (3 θ) ∣ = 0

Solution

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

+1

Solution steps

3 ∣ sin (3 θ) ∣ = 0

Divide both sides by

3

∣ sin (3 θ) ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

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}

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Frequently Asked Questions (FAQ)

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