Home
Class 11
MATHS
(sin x + cos x)^(2) + cos^(2)((pi)/(4) +...

`(sin x + cos x)^(2) + cos^(2)((pi)/(4) + x) in`

A

[0, 1]

B

[0, 2]

C

[1, 2]

D

[0,3]

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-I (Straight Objective Type Questions)|20 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

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

If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + cos^(4) x + sin^(2) x cos^(2) x) , x in ( 0, (pi)/(2) ) , then

The number of solutions of sin^(2) x cos^(2) x = 1 + cos^(2) x sin^(4) x in the inverval [0, 2 pi] is

The number of common roots of simultaneous equation cos 2 x + sin 2 x = cot x and 2 cos ^(2) x + cos ^(2) 2 x = 1 x in |-pi, pi|

3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) x )=

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

Prove that cos ^(2) x + cos ^(2) (x + (pi)/(3)) + cos ^(2) (x - (pi)/(3)) = 3/2.

Prove cos ((pi)/(4) - x) cos ((pi)/(4) -y) - sin ((pi)/(4) -x) sin ((pi)/(4) -y) = sin ( x +y)

Find the extreme values of the following function over R. (i) sin^(2) (60^(0) + x) + sin^(2) (60^(0) - x) (ii) cos (x+ (Pi)/(3) ) + 2sqrt(2) sin (x+ (pi)/(3))-3 (iii) 3 sin^(2) x+ 5 cos^(2) x (iv) cos 2 x+ cos^(2) x (v ) cos x cos ((2pi)/(3) + x) cos ((2pi)/(3)-x)

AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)
  1. Find the extreme values of the following function over R. (i)...

    Text Solution

    |

  2. The extreme values of 4cos(x^(2)).cos((pi)/(3)+x^(2)).cos((pi)/(3)-x^...

    Text Solution

    |

  3. (sin x + cos x)^(2) + cos^(2)((pi)/(4) + x) in

    Text Solution

    |

  4. For all values of theta, the values of 3-cos theta+cos (theta+(pi)/(3)...

    Text Solution

    |

  5. 5 cos theta + 3 cos ( theta - (pi)/(3) )+8 in

    Text Solution

    |

  6. A+B = 90^(@) rArr cos A cos B in

    Text Solution

    |

  7. A+B = 90^(@) rArr sin A + sin Bin

    Text Solution

    |

  8. The range of cos^(2) x + sin^(4) x is

    Text Solution

    |

  9. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

    Text Solution

    |

  10. The minimum and maximum values of 8 cos 3x - 15 sin3x are

    Text Solution

    |

  11. The maximum value of (3 ) /( 5 sin x-12 cos x+19) is

    Text Solution

    |

  12. cos5x=16 cos^(5) x -20 cos^(3) x +5 cos x in

    Text Solution

    |

  13. 3 sin^(2) x -4 cos^(2) x in

    Text Solution

    |

  14. The maximum value of cos x ((cos x )/( 1- sin x) + (1- sin x)/( cos x)...

    Text Solution

    |

  15. Minimum value of 9 sec^(2) theta + 4 cosec^(2) theta + 7 is

    Text Solution

    |

  16. The minimum value of the expression sin alpha + sin beta+sin lambda, w...

    Text Solution

    |

  17. If a le 3 cos x + 5 sin ( x - pi//6) le b for all x , then ( a, b) is

    Text Solution

    |

  18. cos^(2) (60^(@) - x) + cos^(2) (60^(@) +x) in

    Text Solution

    |

  19. cos^(2) (60^(@) - x) + cos^(2) (60^(@) +x) in

    Text Solution

    |

  20. sin^(2) x + 4 sin x+5 in [k, 5k ] rArr k =

    Text Solution

    |