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Popular >

2sin(3θ)=sqrt(2)

Solution

2 sin (3 θ) = 2

Solution

θ = \frac{π}{12} + \frac{2 πn}{3}, θ = \frac{π}{4} + \frac{2 πn}{3}

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Solution steps

2 sin (3 θ) = 2

Divide both sides by

2

sin (3 θ) = \frac{2}{2}

General solutions for

sin (3 θ) = \frac{2}{2}

3 θ = \frac{π}{4} + 2 πn, 3 θ = \frac{3 π}{4} + 2 πn

Solve

3 θ = \frac{π}{4} + 2 πn : θ = \frac{π}{12} + \frac{2 πn}{3}

Solve

3 θ = \frac{3 π}{4} + 2 πn : θ = \frac{π}{4} + \frac{2 πn}{3}

θ = \frac{π}{12} + \frac{2 πn}{3}, θ = \frac{π}{4} + \frac{2 πn}{3}

Popular Examples

cot^2(x)+2cot(x)+1=0

cot^{2} (x) + 2 cot (x) + 1 = 0

(cot(x)+1)(sqrt(3)cot(x)+1)=0

(cot (x) + 1) (3 cot (x) + 1) = 0

sqrt(3)sin(θ)=-cos(θ)

3 sin (θ) = - cos (θ)

- 2 sin (x) + 1 = 0

sin(2θ)=-(sqrt(3))/2 ,0<= θ<= 2pi

sin (2 θ) = - \frac{3}{2}, 0 \leq θ \leq 2 π

Frequently Asked Questions (FAQ)

What is the general solution for 2sin(3θ)=sqrt(2) ?
The general solution for 2sin(3θ)=sqrt(2) is θ= pi/(12)+(2pin)/3 ,θ= pi/4+(2pin)/3