Home
Class 12
MATHS
Given A=sin ^(2) theta+cos ^(4) theta th...

Given `A=sin ^(2) theta+cos ^(4) theta` then for all real `theta`

A

`1le A le 2`

B

`(3)/(4)le A le 1`

C

`(13)/(16) le A le 1`

D

`(3)/(4) le A le (13)/(16)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos
  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

cos^(2)theta+sin^(2)theta is:

If sin theta+sin ^(2) theta+sin ^(3) theta=1 then cos ^(6) theta-4 cos ^(4) theta+8 cos ^(2) theta=

sin ^(6) theta+cos ^(6) theta+3 sin ^(2) theta . cos ^(2) theta=

(sin 2 theta)/(1-cos 2 theta)=cot theta

Solve 7 cos^(2) theta+3 sin^(2) theta=4 .

Prove that: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) = 1-sin theta cos theta

If sin theta+sin ^(2) theta=1 then cos ^(12) theta+3 cos ^(10) theta+3 cos ^(8) theta+cos ^(6) theta=

If sin theta = 12/13 (0^(@) lt theta lt 90^(@)) , find the value of (sin^(2) theta - cos^(2)theta)/(2 sin theta cos theta) xx (1)/(tan^(2)theta) .

Simplify: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) + sin theta cos theta

If 2 sin^(2) theta +5 cos theta=4 , Prove that cos theta=1//2

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :

    Text Solution

    |

  2. If 1+sin x+sin ^(2) x+sin ^(3) x+ldots .+infty is equal to 4+2 sqrt(3)...

    Text Solution

    |

  3. Given A=sin ^(2) theta+cos ^(4) theta then for all real theta

    Text Solution

    |

  4. The value of (1+cos (pi)/(8))(1+cos (3 pi)/(8))(1+cos (5 pi)/(8))(1+co...

    Text Solution

    |

  5. If sin ^(3) x sin 3 x=sum(r=0)^(n) a(r) cos r x is an identity in x, ...

    Text Solution

    |

  6. The expression tan ^(2) alpha+cot ^(2) alpha is

    Text Solution

    |

  7. The maximum value of cos ^(2)((pi)/(3)-x)-cos ^(2)((pi)/(3)+x) is

    Text Solution

    |

  8. If sin x+cosec x=2, then sin ^(n) x+cosec^(n) x=

    Text Solution

    |

  9. If sin theta+cosec theta=2 then the value of sin ^(10) x+cosec^(10) x ...

    Text Solution

    |

  10. The value of 16 sin 144^(circ) sin 108^(circ) sin 72^(circ) sin 36^(ci...

    Text Solution

    |

  11. If tan (A+B)=p and tan (A-B)=q, then the value of tan 2 A is

    Text Solution

    |

  12. The angle of elevation of the top of a TV tower from three points A,B ...

    Text Solution

    |

  13. The angles A,B and C of a triangle ABC are in A.P. If b:c=sqrt(3):sqrt...

    Text Solution

    |

  14. The value of tan 67 (1^(0))/(2)+cot 67 (1^(circ))/(2) is

    Text Solution

    |

  15. The perimeter of a certain sector of a circle is equal to the length o...

    Text Solution

    |

  16. If sqrt((1+cosA)/(1-cosA))=(x)/(y), then the value of tan A =

    Text Solution

    |

  17. Which one of the following is possible?

    Text Solution

    |

  18. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

  19. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

    Text Solution

    |

  20. A cow is tied to a post by a rope. The cow moves along the circular pa...

    Text Solution

    |