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 Lecture Sheet (Exercise - II )(More than one correct answer type questions)|4 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Lecture Sheet (Exercise - II )(Statement Type Questions)|3 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 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

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

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

The value of cos y cos ((pi)/(2) - x) - cos ((pi)/(2) - y) cos x + sin y cos ((pi)/(2) - x) + cos x sin ((pi)/(2) - y) is zero if

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

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

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

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)

Show that int_(0)^(pi//4)(x^(2))/((x sin x + cos x)^(2))dx - (4-pi)/(4+pi)

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

int_(0)^(pi//2) (16sin x. cos x)/(sin^(4) x + cos^(4)x)dx=

AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Lecture Sheet (Exercise - II) (Straight Objective Type Questions)
  1. The minimum and maximum values of sin (x+(pi)/(4) ) sin ( x - (pi)/(4)...

    Text Solution

    |

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

    Text Solution

    |

  3. If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k...

    Text Solution

    |

  4. The minimum and maximum values of cos x + 3sqrt(2)sin(x+(pi)/(4)) + 6 ...

    Text Solution

    |

  5. The minimum value of (1 )/( sqrt(7) sin x+ sqrt(29) cos x+ 7) is

    Text Solution

    |

  6. If U=sqrt(a^(2)cos^(2) theta+ b^(2) sin^(2) theta)+ sqrt(b^(2)cos^(2) ...

    Text Solution

    |

  7. Asserton (A ) : 2^(sin theta) + 2 ^(cos theta) le 2^(1-(1)/(sqrt(2)) ...

    Text Solution

    |

  8. Let A = sin^(8) + cos^(14) theta , then for all real theta

    Text Solution

    |

  9. The minimum value of 2costheta+(1)/(sintheta)+sqrt(2)tan theta in (0, ...

    Text Solution

    |

  10. If 0 le x le (pi)/(3) then range of f(x) = sec ((pi)/(6) - x) + sec((p...

    Text Solution

    |

  11. The maximum value of ( cos alpha1) ( cos alpha2) … ( cos alphan) under...

    Text Solution

    |

  12. If tan x = n tan y, nin R' then the maximum value of sec^(2)(x-y) is e...

    Text Solution

    |

  13. If ABC is a triangle and tan"" (A)/(2) , tan"" (B)/(2) , tan "" (C )/(...

    Text Solution

    |

  14. For any real theta, the maximum value of cos^(2) ( cos theta) + sin^(2...

    Text Solution

    |

  15. If A ge 0, B ge 0, A + B = (pi)/(3) and y = tan A. tan B then

    Text Solution

    |

  16. If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + co...

    Text Solution

    |

  17. The maximum value of expression |sqrt(sin^(2)x+2a^(2))-sqrt(2a^(2)-1-c...

    Text Solution

    |

  18. If a sin x + b cos ( x+ theta) + b cos ( x-theta)=d, then the minimum ...

    Text Solution

    |

  19. The minimum vertical distance between the graphs of y = 2 + sin x and ...

    Text Solution

    |

  20. Let P(x) = ((1- cos 2 x + sin 2x)/(1+ cos2x + sin2x))^(2) + ((1+ cot x...

    Text Solution

    |