CUET · MATHS · PYQ PAPER 2025
The value of \(\cot \left(\cos ^{-1} \frac{7}{25}\right)\) is
- A \(\frac{25}{24}\)
- B \(\frac{24}{25}\)
- C \(\frac{7}{25}\)
- D \(\frac{7}{24}\)
Answer & Solution
Correct Answer
(D) \(\frac{7}{24}\)
Step-by-step Solution
Detailed explanation
\(\text{Let } \theta = \cos^{-1} \frac{7}{25}\). \(\cos \theta = \frac{7}{25}\). \(\text{Opposite side} = \sqrt{25^2 - 7^2} = \sqrt{625 - 49} = \sqrt{576} = 24\). \(\cot \theta = \frac{\text{Adjacent}}{\text{Opposite}} = \frac{7}{24}\).
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