Home
Class 11
MATHS
sin^(2) ( 60^(@) + x) sin^(2) ( 60^(@) -...

`sin^(2) ( 60^(@) + x) sin^(2) ( 60^(@) - x) in [ - (k)/(2) , (k)/(2) ] rArr k =`

A

`3`

B

`2`

C

`sqrt3`

D

`sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Periodicity (Single answer type questions)|17 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

  • PERIODICITY AND EXTREME VALUES

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

Similar Questions

Explore conceptually related problems

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)

2-2sin^2 60^@=

sin theta sin (60^(@) - theta) sin (60^(@)+ theta) in [-k,k] rArr k=

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

sin^(2) theta + sin^(2)(60^@ + theta ) + sin^(2)(60^(@) - theta ) =

I : cos^2 theta + cos^(2) (60^@ + theta ) + cos^(2) (60^@ - theta ) = 3//2 II : sin^(2) theta + sin^(2)(60^(@) + theta ) + sin^(2)(60^(@) - theta ) =3//2

If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , the value of k is

The value of sin^2 60^@ -sin^2 30^@

The minimum and maximum values of sin^(2) (60^(@)-x) + sin^(2) ( 60^(@) + x) are

cos^(6) A + sin^(6) A = 1 - k sin^2 (2A) implies k =

AAKASH SERIES-PERIODICITY AND EXTEME VALUES-PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )
  1. 16 sin x cosx cos 2x cos 4x cos 8x in

    Text Solution

    |

  2. The minimum and maximum values of sin^(2) (60^(@)-x) + sin^(2) ( 60^(@...

    Text Solution

    |

  3. sin^(2) ( 60^(@) + x) sin^(2) ( 60^(@) - x) in [ - (k)/(2) , (k)/(2) ]...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 5 cos theta + 3 cos ( theta - (pi)/(3) )+8 in

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. 3 sin^(2) x -4 cos^(2) x in

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The least value of cos^(2) theta - 6 sin theta.cos theta+ 3 sin^(2) th...

    Text Solution

    |

  18. The minimum value of Sinx ((1-cos x)/(sin x) + (sin x)/( 1-cos x)) ...

    Text Solution

    |

  19. If f(x) = 2+ cos^(2) x + sec^(2) x, its value always is

    Text Solution

    |

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

    Text Solution

    |