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Question
If (tan θ + cot θ) = 5 then (tan2θ + cot2θ) = ?
Options
27
25
24
23
MCQ
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Solution
23
Explanation:
(tan θ + cot θ)2 = 52
⇒ tan2θ + cot2θ + 2 tan θ cot θ = 25
⇒ tan2θ + cot2θ + 2 = 25
⇒ tan2θ + cot2θ = 23
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