JEE Mains · Maths · STD 12 - 2. inverse trigonometric function
\(\operatorname{cosec}\left[2 \cot ^{-1}(5)+\cos ^{-1}\left(\frac{4}{5}\right)\right]\) is equal to ..... .
- A \(\frac{56}{33}\)
- B \(\frac{65}{56}\)
- C \(\frac{65}{33}\)
- D \(\frac{75}{56}\)
Answer & Solution
Correct Answer
(B) \(\frac{65}{56}\)
Step-by-step Solution
Detailed explanation
\(\operatorname{cosec}\left[2 \tan ^{-1}\left(\frac{1}{5}\right)+\tan ^{-1}\left(\frac{3}{4}\right)\right]\) \(\operatorname{cosec}\left[\tan ^{-1}\left(\frac{5}{12}\right)+\tan ^{-1}\left(\frac{3}{4}\right)\right]\)…
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