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Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsTrigonometric Functions2 Marks
MCQ
$\cot \left[\cos ^{-1}\left(\frac{7}{25}\right)\right]=$
  • A
    $\frac{25}{24}$
  • B
    $\frac{25}{7}$
  • C
    $\frac{24}{25}$
  • ✓
    $\frac{7}{24}$
✓

Answer

Correct option: D.
$\frac{7}{24}$
(D) $\cot \left[\cos ^{-1}\left(\frac{7}{25}\right)\right]=\cot \left[\cot ^{-1}\left(\frac{7}{24}\right)\right]=\frac{7}{24}$ $\ldots\left[\because \cos ^{-1} x=\cot ^{-1} \frac{x}{\sqrt{1-x^2}}\right]$

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