Question
Download Solution PDFIf tan θ + cot θ = 12, then tan2 θ + cot2 θ is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
tan θ + cot θ = 12
Formula used:
(x + 1/x)2 = (x2 + 1/x2) + 2
cot θ = 1/tan θ
Calculation:
tan θ + cot θ = 12
tan θ + 1/tan θ = 12
Square both sides:
(tan θ + 1/tan θ)2 = 122
tan2 θ + 1/tan2 θ = 144 - 2
tan2 θ + cot2 θ = 142
∴ Option 3 is the correct answer.
Last updated on Jul 12, 2025
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