CUET · MATHS · PYQ PAPER 2023
The maximum value of \((\sin x)(\cos x)\) is :
- A 1
- B \(1 / 2\)
- C \(1 / 4\)
- D \(\sqrt{2}\)
Answer & Solution
Correct Answer
(B) \(1 / 2\)
Step-by-step Solution
Detailed explanation
\((\sin x)(\cos x) = \frac{1}{2} (2 \sin x \cos x)\) \(= \frac{1}{2} \sin(2x)\) Maximum value of \(\sin(2x)\) is 1. Maximum value of \(\frac{1}{2} \sin(2x) = \frac{1}{2} \times 1 = \frac{1}{2}\)
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