## The maximum value of sin x . cos x is

## (A) 1/4 (B) 1/2

## (C) √2 (D) 2 √2

This question is similar to

Ex 6.5, 9 - Chapter 6 Class 12- Application of Derivatives

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Chapter 6 Class 12 Application of Derivatives

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Last updated at April 16, 2024 by Teachoo

This question is similar to

Ex 6.5, 9 - Chapter 6 Class 12- Application of Derivatives

Question 13 The maximum value of sin x . cos x is (A) 1/4 (B) 1/2 (C) β2 (D) 2 β2 Let f(π)=sinβ‘π₯βcosβ‘π₯ =(2 sinβ‘π₯ cosβ‘π₯)/2 =(πππ ππ)/π Since, βπβ€πππ π½β€π Putting π=2π₯ β1β€sinβ‘2π₯β€1 Dividing by 2 β1/2β€(π ππ 2π₯)/2β€1/2 βπ/πβ€π(π)β€π/π β΄ Maximum value of π(π₯) is π/π. So, the correct answer is (B).