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Popular >

2cos^2(θ)+sqrt(3)cos(θ)=0

Solution

2 cos^{2} (θ) + 3 cos (θ) = 0

Solution

θ = \frac{π}{2} + 2 πn, θ = \frac{3 π}{2} + 2 πn, θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

+1

Solution steps

2 cos^{2} (θ) + 3 cos (θ) = 0

Solve by substitution

cos (θ) = 0, cos (θ) = - \frac{3}{2}

cos (θ) = 0 : θ = \frac{π}{2} + 2 πn, θ = \frac{3 π}{2} + 2 πn

cos (θ) = - \frac{3}{2} : θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

Combine all the solutions

θ = \frac{π}{2} + 2 πn, θ = \frac{3 π}{2} + 2 πn, θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

Popular Examples

5 (sin (θ) + 1) = 5

cos(x/2)=(sqrt(3))/2

cos (\frac{x}{2}) = \frac{3}{2}

2sin^2(θ)-3cos(θ)=0

2 sin^{2} (θ) - 3 cos (θ) = 0

\frac{1}{2} = sin (2 x)

sin (θ) = 0.4