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Popular >

cos(θ)+2cos^2(θ)=0

Solution

cos (θ) + 2 cos^{2} (θ) = 0

Solution

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

+1

Solution steps

cos (θ) + 2 cos^{2} (θ) = 0

Solve by substitution

cos (θ) = 0, cos (θ) = - \frac{1}{2}

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

cos (θ) = - \frac{1}{2} : θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

Combine all the solutions

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

Popular Examples

cos(2x)=-1/2 ,0<= x<= 2pi

cos (2 x) = - \frac{1}{2}, 0 \leq x \leq 2 π

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