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Popular >

4cos^2(θ)-cos(θ)-9=7cos(θ)-4

Solution

4 cos^{2} (θ) - cos (θ) - 9 = 7 cos (θ) - 4

Solution

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

+1

Solution steps

4 cos^{2} (θ) - cos (θ) - 9 = 7 cos (θ) - 4

Solve by substitution

cos (θ) = \frac{5}{2}, cos (θ) = - \frac{1}{2}

cos (θ) = \frac{5}{2} :

No Solution

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

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Frequently Asked Questions (FAQ)

What is the general solution for 4cos^2(θ)-cos(θ)-9=7cos(θ)-4 ?
The general solution for 4cos^2(θ)-cos(θ)-9=7cos(θ)-4 is θ=(2pi)/3+2pin,θ=(4pi)/3+2pin