SOLUTION: Hello tutor, How do I prove the following identiy using trigonometric formulas: cosθ/sinθ + sinθ/cosθ ≡ 2cosec2θ

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Question 720251: Hello tutor, How do I prove the following identiy using trigonometric formulas:

cosθ/sinθ + sinθ/cosθ ≡ 2cosec2θ
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Hello tutor, How do I prove the following identiy using trigonometric formulas:

cos(t)/sin(t) + sin(t)/cos(t) = 2cosec(2t)
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Combine the 2 fractions, change the csc to sine
(cos^2(t) + sin^2(t))/sin(t)cos(t) = 1/sin(2t) = 1/(sin(t)cos(t)
cos^2 + sin^2 = 1
I'm convinced.