Home
Class 11
MATHS
The maximum value of 4 sin^(2) x + 3 cos...

The maximum value of 4` sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos"" (x)/(2)` is

A

`4+sqrt(2)`

B

`3+sqrt(2)`

C

9

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(II)|9 Videos

  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(III)|10 Videos

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -IV|7 Videos

  • SAMPLE PAPER -5

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER)|2 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2)dot

sin 3x + sin 2x - sin = 4sin x cos "" x/2 cos "" (3x)/(2)

The maximum value of cos xsin x+sqrt(sin^(2)x+sin^(2)((pi)/(6))} is

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

int (sin^(8) x - cos ^(8) x)/( 1 - 2 sin^(2) x cos^(2) x) dx is

Prove that sin 3x + sin 2x - sin x = 4 sin x cos ""(x)/(2) cos "" ( 3x )/(2)

Solve 2 sin^(3) x=cos x .

(3 + 4 cos x)/( sin^(2) x )