SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 15 cot^2(x) = 5

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 15 cot^2(x) = 5      Log On


   



Question 654201: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
15 cot^2(x) = 5

Answer by lwsshak3(11628) About Me  (Show Source):
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Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
15 cot^2(x) = 5
cot^2(x)=5/15=1/3
cot(x)=1/√3
x=π/3, 4π/3 (in quadrants I and III where cot>0)