CUET · MATHS · PYQ PAPER 2023
If \(\sin ^{-1}\left(\frac{x}{5}\right)+\operatorname{cosec}^{-1}\left(\frac{5}{4}\right)=\frac{\pi}{2}\), then the value of x is:
- A 1
- B 3
- C 4
- D 5
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
\(\operatorname{cosec}^{-1}\left(\frac{5}{4}\right) = \cos^{-1}\left(\frac{x}{5}\right)\) \(\cos^{-1}\left(\frac{3}{5}\right) = \cos^{-1}\left(\frac{x}{5}\right)\) \(\frac{3}{5} = \frac{x}{5}\) \(x = 3\)
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