Check sibling questions

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



Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Question 13 The maximum value of sin x . cos x is (A) 1/4 (B) 1/2 (C) √2 (D) 2 √2 Let f(𝒙)=sin⁑π‘₯βˆ™cos⁑π‘₯ =(2 sin⁑π‘₯ cos⁑π‘₯)/2 =(π’”π’Šπ’ πŸπ’™)/𝟐 Since, βˆ’πŸβ‰€π’”π’Šπ’ πœ½β‰€πŸ Putting πœƒ=2π‘₯ βˆ’1≀sin⁑2π‘₯≀1 Dividing by 2 βˆ’1/2≀(𝑠𝑖𝑛 2π‘₯)/2≀1/2 βˆ’πŸ/πŸβ‰€π’‡(𝒙)β‰€πŸ/𝟐 ∴ Maximum value of 𝑓(π‘₯) is 𝟏/𝟐. So, the correct answer is (B).

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.