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Popular >

8cos^2(θ)+14cos(θ)-11=8cos(θ)-6

Solution

8 cos^{2} (θ) + 14 cos (θ) - 11 = 8 cos (θ) - 6

Solution

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

+1

Solution steps

8 cos^{2} (θ) + 14 cos (θ) - 11 = 8 cos (θ) - 6

Solve by substitution

cos (θ) = \frac{1}{2}, cos (θ) = - \frac{5}{4}

cos (θ) = \frac{1}{2} : θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

cos (θ) = - \frac{5}{4} :

No Solution

Combine all the solutions

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

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Frequently Asked Questions (FAQ)

What is the general solution for 8cos^2(θ)+14cos(θ)-11=8cos(θ)-6 ?
The general solution for 8cos^2(θ)+14cos(θ)-11=8cos(θ)-6 is θ= pi/3+2pin,θ=(5pi)/3+2pin