SOLUTION: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter
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Question 845380: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
csc^2 θ = 4 cot θ + 6
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
csc^2 θ = 4 cot θ + 6
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(cot^2+1) = 4cot + 6
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cot^2 - 4cot -5 = 0
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Factor:
(cot-5)(cot+1) = 0
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cot = 5 or cot = -1
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theta = arctan(1/5) or theta = arctan(-1)
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t = 11.31 degrees or 191.31 degrees or 135 degrees or 315 degrees
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Cheers,
Stan H.
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