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Popular >

8tan^2(θ)-1=7tan(θ)

Solution

8 tan^{2} (θ) - 1 = 7 tan (θ)

Solution

θ = \frac{π}{4} + πn, θ = - 0.12435 \dots + πn

+1

Solution steps

8 tan^{2} (θ) - 1 = 7 tan (θ)

Solve by substitution

tan (θ) = 1, tan (θ) = - \frac{1}{8}

tan (θ) = 1 : θ = \frac{π}{4} + πn

tan (θ) = - \frac{1}{8} : θ = arctan (- \frac{1}{8}) + πn

Combine all the solutions

θ = \frac{π}{4} + πn, θ = arctan (- \frac{1}{8}) + πn

Show solutions in decimal form

θ = \frac{π}{4} + πn, θ = - 0.12435 \dots + πn

Popular Examples

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Frequently Asked Questions (FAQ)

What is the general solution for 8tan^2(θ)-1=7tan(θ) ?
The general solution for 8tan^2(θ)-1=7tan(θ) is θ= pi/4+pin,θ=-0.12435…+pin