Home
Class 11
MATHS
If A=sin^(2) theta + cos^(4) theta , th...

If `A=sin^(2) theta + cos^(4) theta ` , then for all values of ` theta ` , where

A

`1leAle2`

B

`3/4leAle1`

C

`0leAle1`

D

`1/4leAle1/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE-II|52 Videos

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

If A= cos theta + 2 sqrt(2) sin theta , then for all real values of theta

4 sin 5 theta cos 3 theta sin 2 theta

If 1+sin^(2)theta = 3 sin theta cos theta , then theta =

If cos^(2)theta - sin theta = 1//4 then theta =

Asserton (A ) : 2^(sin theta) + 2 ^(cos theta) le 2^(1-(1)/(sqrt(2)) for all values of theta Reason (R ) : The minimum value of sin theta + cos theta is -sqrt(2)

If sin theta + sin^(2) theta =1 , " then " cos^(2) theta + cos^(4) theta =

8 sin theta cos theta cos 2 theta cos 4 theta =

If sin^(4) theta + cos^(4) theta = l + 3 +k sin^(2) theta cos^(2) theta then

If 2-cos^(2)theta = 3 sin theta cos theta then theta =

AAKASH SERIES-MULTIPLE & SUBMULTIPLE ANGLES-PRACTICE EXERCISE
  1. If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , th...

    Text Solution

    |

  2. cos6^(@) cos42^(@) cos66^(@) cos78^(@) =

    Text Solution

    |

  3. Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.

    Text Solution

    |

  4. cos (pi/7) cos ((2pi)/(7) ) cos ( (4pi )/(7) ) =

    Text Solution

    |

  5. "sin"pi/14" sin"(3pi)/14" sin"(5pi)/14" sin"(7pi)/5=

    Text Solution

    |

  6. "sin"^(2)pi/8" + sin"^(2)(3pi)/8" + sin"^(2)(5pi)/8" + sin"^(2)(7pi)/8...

    Text Solution

    |

  7. "sin"^(4)pi/8" +sin"^(4)(3pi)/8" +sin"^(4)(5pi)/8" +sin"^(4)(7pi)/8=

    Text Solution

    |

  8. Show that (1+ cos. (pi)/(8))(1+cos. (3pi)/(8))(1+ cos. (5pi)/(8))(1+ c...

    Text Solution

    |

  9. If A=2 sin^(2) theta - cos 2 theta , then

    Text Solution

    |

  10. If x+y+z =xyz, then sum(2x)/(1-x^(2))=

    Text Solution

    |

  11. If xy+yz+zx=1 , then sum(x+y)/(1-xy)=

    Text Solution

    |

  12. If sqrt(1+sinA)+sqrt(1-sinA)=2"sin"A/2" then"A/2 in

    Text Solution

    |

  13. If A=340^(@) then 2 sin A//2=

    Text Solution

    |

  14. I : If 180^(@) lt theta lt 270^@ , sin theta = -3//5 " then " cos the...

    Text Solution

    |

  15. If A=cos^(2)10^(@)+cos^(2)50^(@)+cos^(2)70^(@), B="sin"^(4)(3pi)/8-"...

    Text Solution

    |

  16. If A=(2sinx)/(sin3x)+(tanx)/(tan3x), B=cos10^(@)cos30^(@)cos50^(@)cos...

    Text Solution

    |

  17. Assertion (A): tantheta+2tan2theta+4tan4theta+8tan8theta+16cot16theta=...

    Text Solution

    |

  18. Assertion (A): cos^(3)x+cos^(3)(120^(@)+x)+cos^(3)(120^(@)-x)=3/4cos3x...

    Text Solution

    |

  19. If 0ltxltpi and cosx+sinx=1/2 then tanx=

    Text Solution

    |

  20. If A=sin^(2) theta + cos^(4) theta , then for all values of theta ,...

    Text Solution

    |