What is the general solution for 3cot^2(θ)-1=0 ?

The general solution for 3cot^2(θ)-1=0 is θ=1.04719…+pin,θ=2.09439…+pin

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3cot^2(θ)-1=0

3 cot^{2} (θ) - 1 = 0

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

Solution steps

3 cot^{2} (θ) - 1 = 0

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

tan (\frac{x}{7}) + 3 = 0

3 (tan (θ) - 2) = 2 tan (θ) - 7

3 tan (θ) + 1 = 0, 0 \leq θ \leq 2 π

tan (x) = tan^{2} (x)

y, sin (x y) = x

What is the general solution for 3cot^2(θ)-1=0 ?
The general solution for 3cot^2(θ)-1=0 is θ=1.04719…+pin,θ=2.09439…+pin