Question
Download Solution PDFWhat is cot2(sec-1 2) + tan2 (cosec-1 3) equal to ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Let I = cot2 (sec-1 2) + tan2(cosec-1 3)
⇒ I = cot2 (60°) + tan 2 (cot-1 \(\sqrt 9 -1 \)
⇒ I = \(\frac{1}{3} + tan^2( tan^{-1}\frac{1}{\sqrt8})\)
⇒ I = \(\frac{1}{3} + \frac{1}{8} = \frac{11}{24}\)
∴ Option (b) is correct
Last updated on May 30, 2025
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