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+1 vote
44.2k views
in Mathematics by (65 points)
If tan theta+1/tan tgheta=2,find the value of tan^2 theta+1/tan^2theta

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1 Answer

+2 votes
by (100 points)

tan∅ + 1/tan∅ = 2

Square on both sides,

(tan∅ + 1/tan∅)² = 2²

tan²∅ + 1/tan²∅ +2(tan∅×1/tan∅) = 4

tan²∅ + 1/tan²∅ + 2 = 4

tan²∅ + 1/tan²∅ = 4 - 2

tan²∅ +1/tan²∅ = 2

I hope this will help you

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