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Popular >

cot^2(θ)= 1/3

Solution

cot^{2} (θ) = \frac{1}{3}

Solution

θ = 1.04719 \dots + πn, θ = 2.09439 \dots + πn

+1

Solution steps

cot^{2} (θ) = \frac{1}{3}

Solve by substitution

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

cot (θ) = \frac{1}{3} : θ = arccot (\frac{1}{3}) + πn

cot (θ) = - \frac{1}{3} : θ = arccot (- \frac{1}{3}) + πn

Combine all the solutions

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

Show solutions in decimal form

θ = 1.04719 \dots + πn, θ = 2.09439 \dots + πn

Popular Examples

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sin(θ)= 1/(sqrt(2)),0<= θ<= 4pi

sin (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π

8sin(θ)cos(θ)tan(θ)=csc(θ)

8 sin (θ) cos (θ) tan (θ) = csc (θ)

Frequently Asked Questions (FAQ)

What is the general solution for cot^2(θ)= 1/3 ?
The general solution for cot^2(θ)= 1/3 is θ=1.04719…+pin,θ=2.09439…+pin