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Popular >

6tan^2(θ)+11tan(θ)=4tan(θ)-2

Solution

6 tan^{2} (θ) + 11 tan (θ) = 4 tan (θ) - 2

Solution

θ = - 0.46364 \dots + πn, θ = - 0.58800 \dots + πn

+1

Solution steps

6 tan^{2} (θ) + 11 tan (θ) = 4 tan (θ) - 2

Solve by substitution

tan (θ) = - \frac{1}{2}, tan (θ) = - \frac{2}{3}

tan (θ) = - \frac{1}{2} : θ = arctan (- \frac{1}{2}) + πn

tan (θ) = - \frac{2}{3} : θ = arctan (- \frac{2}{3}) + πn

Combine all the solutions

θ = arctan (- \frac{1}{2}) + πn, θ = arctan (- \frac{2}{3}) + πn

Show solutions in decimal form

θ = - 0.46364 \dots + πn, θ = - 0.58800 \dots + πn

Popular Examples

1/(1-cos(x))+1/(1+cos(x))=2sec^2(x)

\frac{1}{1 - cos ( x )} + \frac{1}{1 + cos ( x )} = 2 sec^{2} (x)

2cos^2(θ)-sin(θ)=2

2 cos^{2} (θ) - sin (θ) = 2

solvefor θ,2sin^2(θ)=1-sin(θ)solve for

θ, 2 sin^{2} (θ) = 1 - sin (θ)

cos(a)=(57)/(sqrt(113)*\sqrt{78)}

cos (a) = \frac{57}{113 \cdot 78}

tan^2(x)+tan(x)-12=2

tan^{2} (x) + tan (x) - 12 = 2

Frequently Asked Questions (FAQ)

What is the general solution for 6tan^2(θ)+11tan(θ)=4tan(θ)-2 ?
The general solution for 6tan^2(θ)+11tan(θ)=4tan(θ)-2 is θ=-0.46364…+pin,θ=-0.58800…+pin