Home
Class 12
MATHS
If A = sin^2 theta+ cos^4 theta, then f...

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

A

`1leAle2`

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

  • STATISTICS

    NDA PREVIOUS YEARS|Exercise MCQs|204 Videos
  • VECTORS

    NDA PREVIOUS YEARS|Exercise MATH|199 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The maximum value of sin^8 theta + cos^14 theta for all real values of theta is s

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

NDA PREVIOUS YEARS-TRIGONOMETRY - RATIO & IDENTITY , TRIGONOMETRIC EQUATIONS-MCQ
  1. If theta=pi/8, then what is value of (2costheta+1)^(10)(2cos2theta-1)^...

    Text Solution

    |

  2. If cosalpha and cosbeta are the roots of 4x^(2)-3=0, then what is the...

    Text Solution

    |

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

    Text Solution

    |

  4. What is the least value of 25 "cosec"^(2)x+36sec^(2)x?

    Text Solution

    |

  5. What is the value of (sin34^(@)cos236^(@)-sin56^(@)sin124^(@))/...

    Text Solution

    |

  6. tan54^(@) can be expressed as

    Text Solution

    |

  7. If =Xcostheta-Ysintheta,q=Xsintheta+Ycosthetaandp^(2)+4pq+q^(2)=AX^(2)...

    Text Solution

    |

  8. If =Xcostheta-Ysintheta,q=Xsintheta+Ycosthetaandp^(2)+4pq+q^(2)=AX^(2)...

    Text Solution

    |

  9. If p=Xcostheta-Ysintheta,q=Xsintheta+Ycosthetaandp^(2)+4pq+q^(2)=AX^(2...

    Text Solution

    |

  10. It is given that cos(theta-alpha)=a, cos(theta-beta)=b What is...

    Text Solution

    |

  11. It is given that cos(theta-alpha)=a, cos(theta-beta)=b What is...

    Text Solution

    |

  12. If sinalpha+cosalpha=p, then what is cos^(2)(2alpha) equal to ?

    Text Solution

    |

  13. If tantheta=(1)/(2) and tanphi=(1)/(3), then the value of theta+phi i...

    Text Solution

    |

  14. If cosA=(3)/(4), then what is the value of sin((A)/(2))sin((3A)/(2)...

    Text Solution

    |

  15. tan7 5^0+cot7 5^(@)=

    Text Solution

    |

  16. What is the value of cos46^(@)cos47^(@)cos48^(@)cos49^(@)cos50^(@)...c...

    Text Solution

    |

  17. If sin2theta=cos3theta, "where"0ltthetalt(pi)/(2), then what is sin th...

    Text Solution

    |

  18. What is (1+tanalphatanbeta)^(2)+(tanalpha-tanbeta)^(2)-sec^(2)alphasec...

    Text Solution

    |

  19. If p="cosec " theta-cottheta and q = ("cosec "theta+cot theta)^(-1), ...

    Text Solution

    |

  20. If sin theta+costheta=sqrt(2)costheta then what is (costheta-sintheta)...

    Text Solution

    |