Home
Class 11
MATHS
If A=sin^2theta+cos^4theta then for all ...

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

A

`1leAle2`

B

`3/4leAle1`

C

`13/16leAle1`

D

`3/4leAle13/16`

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

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

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-

Find the maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) 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 2 sin theta cos theta = 1 , then find the value of sin theta-cos theta .

If sin5theta=cos4theta then the value of theta is

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

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If sin A,cos A and tan A are in G.P. then cos^3A+cos^2A is equal to

    Text Solution

    |

  2. If x+1/x=2costheta then x^3+1/x^3=

    Text Solution

    |

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

    Text Solution

    |

  4. If sin A,cosA and tan A are in G.P. then cot^6A-cot^2A is equal to

    Text Solution

    |

  5. The sign of the product (sin2)(sin3)(sin 5) is

    Text Solution

    |

  6. No.of solution in the equation x=4 sinx when x in [0,2pi]

    Text Solution

    |

  7. The value of sin 10^@+sin 20^@+sin30^@+…..+sin360^@ is equal to

    Text Solution

    |

  8. if sin^4alphacos^2alpha=underset(k=0)overset3sum ckcos2kalpha then c1+...

    Text Solution

    |

  9. The integer k for which the equation 7cosx+5sinx=2k+1 has a solution i...

    Text Solution

    |

  10. For +ve integer n, letfn(theta)=tan(theta/2)(1+sectheta)(1+sec2theta)(...

    Text Solution

    |

  11. If x=secphi-tanphi and y=cosecphi+cotphi, then

    Text Solution

    |

  12. If sectheta+tantheta=1 then one root of equation a(b-c)x^2+b(c-a)x+c(a...

    Text Solution

    |

  13. if cosx+secx=(-2) then for a positive integer n cos^nx+sec^nx is

    Text Solution

    |

  14. sec^2theta=4xy/(x+y)^2 is true if and only if

    Text Solution

    |

  15. If tanx=(2b)/(a-c), (a ne c) y=acos^2x+2bsinxcosx+csin^2x and z=asin...

    Text Solution

    |

  16. If secA+tanA=3/2 then

    Text Solution

    |

  17. If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

    Text Solution

    |

  18. The value of cos(pi/15)cos(2pi/15)cos(3pi/15)cos(4pi/15)cos(5pi/15)cos...

    Text Solution

    |

  19. The value of cos((2pi)/7)cos((4pi)/7)cos((6pi)/7) is

    Text Solution

    |

  20. The value of sin (pi/14)sin(3pi/14)sin(5pi/14)sin(7pi/14)sin(9pi/14)si...

    Text Solution

    |