CUET · MATHS · PYQ PAPER 2023
The value of \(\sin \left(2 \sin ^{-1} \frac{4}{5}\right)\) is given by :
- A \(\frac{16}{25}\)
- B \(\frac{24}{25}\)
- C \(\frac{9}{25}\)
- D \(\frac{12}{25}\)
Answer & Solution
Correct Answer
(B) \(\frac{24}{25}\)
Step-by-step Solution
Detailed explanation
\(\sin \theta = \frac{4}{5}\) \(\cos \theta = \sqrt{1 - \left(\frac{4}{5}\right)^2} = \sqrt{1 - \frac{16}{25}} = \sqrt{\frac{9}{25}} = \frac{3}{5}\)…
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