Question

if tan thitha +cot thitha =5, find the value of tan square thitha+ cot square thitha
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Answer 1

Given,

tanθ+cotθ=5

Now squaring both sides we get,

⇒( tan²θ + cot²θ + 2.tanθ.cotθ ) = 25

⇒tan²θ + cot²θ = 25−2 [ Since tanθ.cotθ = 1]

⇒tan²θ + cot²θ = 23.

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