CUET · MATHS · PYQ PAPER 2025
The maximum value of \(\sin x \cdot \cos x\) is :
- A 1
- B \(\frac{1}{2}\)
- C \(\frac{1}{4}\)
- D \(\sqrt{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\( \sin x \cdot \cos x = \frac{1}{2} (2 \sin x \cos x) \) \( = \frac{1}{2} \sin (2x) \) Max value of \( \sin (2x) \) is \( 1 \). Max value of \( \sin x \cdot \cos x = \frac{1}{2} \cdot 1 = \frac{1}{2} \)
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