What is the general solution for cot^2(θ)-9=0 ?

The general solution for cot^2(θ)-9=0 is θ=0.32175…+pin,θ=2.81984…+pin

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cot^2(θ)-9=0

cot^{2} (θ) - 9 = 0

θ = 0.32175 \dots + πn, θ = 2.81984 \dots + πn

Solution steps

cot^{2} (θ) - 9 = 0

Solve by substitution

cot (θ) = 3, cot (θ) = - 3

cot (θ) = 3 : θ = arccot (3) + πn

cot (θ) = - 3 : θ = arccot (- 3) + πn

Combine all the solutions

θ = arccot (3) + πn, θ = arccot (- 3) + πn

Show solutions in decimal form

θ = 0.32175 \dots + πn, θ = 2.81984 \dots + πn

sec (x) = - 1 - tan (x)

sec (θ) + 3 = 0

2 sin (x) cos (x) + 3 sin (x) = 0

cos (2 x) - cos (x) = 0, 0 \leq x < 2 π

x, 2 cos (2 x) - 1 = 0

What is the general solution for cot^2(θ)-9=0 ?
The general solution for cot^2(θ)-9=0 is θ=0.32175…+pin,θ=2.81984…+pin