Home
Class 11
MATHS
Given A=sin^2theta +cos^4theta. Then for...

Given `A=sin^2theta +cos^4theta`. Then for all real values of `theta`, which one is correct ?

A

`1ltAlt2`

B

`(3/4)leAle1`

C

`(13/16)leAle1`

D

`(3/4)leAle(13/16)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

If A=sin^2theta+cos^4theta then for all real values of theta

If A=sin^(8) theta + cos^(14) theta , then for all values of theta ,

For all real values of theta , choose the correct options.

If x= cos ^(2) theta + sin ^(4) theta, then for all real values of theta-

Let f(theta)=(1+sin^(2)theta)(2-sin^(2)theta) . Then for all values of theta .

If m= sin ^(2) theta + cos ^(4)theta, then-

If sin5theta=cos4theta then the value of theta is

If sin theta = cos theta , then the value of 2theta will be_____

If 5 sin^2 theta+4 cos^2 theta = 9/2 , find the value of tan theta .

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If secalpha and cosecalpha are two roots of x^2-px+q=0 then

    Text Solution

    |

  2. If costheta + sectheta = (-2) then cos^ntheta + sec^ntheta= (If n is e...

    Text Solution

    |

  3. Given A=sin^2theta +cos^4theta. Then for all real values of theta, whi...

    Text Solution

    |

  4. The minimum value of cos(cosx) is

    Text Solution

    |

  5. If S=cos^2(pi/n) + cos^2((2pi)/n) +....+ cos^2((n-1)pi)/n, then S equa...

    Text Solution

    |

  6. If cos5theta = acostheta +bcos^2theta + c.cos^5theta =d, then

    Text Solution

    |

  7. prove that In an acute angled triangle ABC, secA+ secB+secCge6 is

    Text Solution

    |

  8. If Tn=sin^ntheta+ cos^ntheta, then (T6-T4)/T6=m holds for value of m s...

    Text Solution

    |

  9. Value of the expression 2sinx-cos2x is

    Text Solution

    |

  10. The range of function tan(pi/4sin^2x) must be

    Text Solution

    |

  11. The inequation 4sin3x+5ge4cos2x+5sinx

    Text Solution

    |

  12. If 7cosx-24sinx=dcos(x+alpha), oltalphaltpi/2, be true for all x in R,...

    Text Solution

    |

  13. Prove that abs(sinthetasin(60^@-theta)sin(60^@+theta)) le1/4 for all v...

    Text Solution

    |

  14. In a Delta ABC

    Text Solution

    |

  15. In a triangle tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

    Text Solution

    |

  16. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

  17. If tanalpha and tanbeta are the roots of the equation x^2+px+q=0 (pne0...

    Text Solution

    |

  18. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  19. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  20. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

    Text Solution

    |