What is the general solution for 25cot^2(θ)-1=0 ?

The general solution for 25cot^2(θ)-1=0 is θ=1.37340…+pin,θ=1.76819…+pin

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25cot^2(θ)-1=0

25 cot^{2} (θ) - 1 = 0

θ = 1.37340 \dots + πn, θ = 1.76819 \dots + πn

Solution steps

25 cot^{2} (θ) - 1 = 0

Solve by substitution

cot (θ) = \frac{1}{5}, cot (θ) = - \frac{1}{5}

cot (θ) = \frac{1}{5} : θ = arccot (\frac{1}{5}) + πn

cot (θ) = - \frac{1}{5} : θ = arccot (- \frac{1}{5}) + πn

Combine all the solutions

θ = arccot (\frac{1}{5}) + πn, θ = arccot (- \frac{1}{5}) + πn

Show solutions in decimal form

θ = 1.37340 \dots + πn, θ = 1.76819 \dots + πn

cos (a) = \frac{5}{13}

sec (2 x) - 2 = 0

2 sin^{2} (θ) + sin (θ) = 1

cot^{2} (x) + csc (x) = 1

sin (x) = \frac{- 2}{2}

What is the general solution for 25cot^2(θ)-1=0 ?
The general solution for 25cot^2(θ)-1=0 is θ=1.37340…+pin,θ=1.76819…+pin