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Popular >

9cot^2(θ)-25=0

Solution

9 cot^{2} (θ) - 25 = 0

Solution

θ = 0.54041 \dots + πn, θ = 2.60117 \dots + πn

+1

Solution steps

9 cot^{2} (θ) - 25 = 0

Solve by substitution

cot (θ) = \frac{5}{3}, cot (θ) = - \frac{5}{3}

cot (θ) = \frac{5}{3} : θ = arccot (\frac{5}{3}) + πn

cot (θ) = - \frac{5}{3} : θ = arccot (- \frac{5}{3}) + πn

Combine all the solutions

θ = arccot (\frac{5}{3}) + πn, θ = arccot (- \frac{5}{3}) + πn

Show solutions in decimal form

θ = 0.54041 \dots + πn, θ = 2.60117 \dots + πn

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Frequently Asked Questions (FAQ)

What is the general solution for 9cot^2(θ)-25=0 ?
The general solution for 9cot^2(θ)-25=0 is θ=0.54041…+pin,θ=2.60117…+pin