SOLUTION: find acute angle a if tan sgaure A+cot square A=2

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Question 206573: find acute angle a if tan sgaure A+cot square A=2
Answer by stanbon(75887) About Me  (Show Source):
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find acute angle a if tan sgaure A+cot square A=2
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tan^2 + cot^2 = 2
tan^2 + (1/tan^2) = 2
tan^4 + 1 = 2tan^2
tan^4-2tan^2-1 = 0
(tan^2-1)^2 = 0
tan^2 = 1
tan = 1 or tan = -1
A = pi/4
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Cheers,
Stan H.