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Popular >

cos(3θ)=(sqrt(3))/2

Solution

cos (3 θ) = \frac{3}{2}

Solution

θ = \frac{π}{18} + \frac{2 πn}{3}, θ = \frac{11 π}{18} + \frac{2 πn}{3}

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Solution steps

cos (3 θ) = \frac{3}{2}

General solutions for

cos (3 θ) = \frac{3}{2}

3 θ = \frac{π}{6} + 2 πn, 3 θ = \frac{11 π}{6} + 2 πn

Solve

3 θ = \frac{π}{6} + 2 πn : θ = \frac{π}{18} + \frac{2 πn}{3}

Solve

3 θ = \frac{11 π}{6} + 2 πn : θ = \frac{11 π}{18} + \frac{2 πn}{3}

θ = \frac{π}{18} + \frac{2 πn}{3}, θ = \frac{11 π}{18} + \frac{2 πn}{3}

Popular Examples

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tan^{2} (θ) - 1 = 0, π \leq θ \leq 2 π

sin (y) = - \frac{1}{2}

cos^{22}(x)-2sin^2(x)-1=0

cos^{22} (x) - 2 sin^{2} (x) - 1 = 0

tan(θ)=(3sqrt(5))/2

tan (θ) = \frac{3 5}{2}

sin(x+pi/2)+cos^2(x)=0

sin (x + \frac{π}{2}) + cos^{2} (x) = 0

Frequently Asked Questions (FAQ)

What is the general solution for cos(3θ)=(sqrt(3))/2 ?
The general solution for cos(3θ)=(sqrt(3))/2 is θ= pi/(18)+(2pin)/3 ,θ=(11pi}{18}+\frac{2pin)/3