Home
Class 14
MATHS
If costheta + sec theta =2, then the val...

If `costheta + sec theta =2`, then the value of `cos^6theta + sec^6 theta` is

A

4

B

8

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

cos theta . Sec theta =

If cos theta+sec theta=2 then the value of sin theta is

If cos theta+sec theta=2 then the value of cos10 theta+sec11 theta is

If sec theta + cos theta = 2 , then the value of sec^(2) theta + cosec^(2) theta is :

If sec theta - cosec theta = 0 , then the value of (sec theta + cosec theta) is :

If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec^(3)theta) is :

If costheta+sectheta=2 , then find value of cos^(100)theta+sec^(100)theta .

tan^(2)theta+sec theta=5, then find the value of cos theta

If tan theta+sec theta=(2)/(3), then the value of sec theta is

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. Find minimum value of sin^(2)theta+cosec^(2)theta+cos^(2)theta+sec^(...

    Text Solution

    |

  2. If 2sin((pi)/(2))=x^(2)+(1)/(x^(2)), then the value of (x-(1)/(x)) i...

    Text Solution

    |

  3. If costheta + sec theta =2, then the value of cos^6theta + sec^6 theta...

    Text Solution

    |

  4. The numerical value of (5)/(sec^(2)theta)+(2)/(1+cot^(2)theta)+3sin...

    Text Solution

    |

  5. If (sintheta+costheta)/(sintheta-costheta)=(5)/(4) , the value of (ta...

    Text Solution

    |

  6. The value of (2cos^(2)theta-1)((1+tantheta)/(1-tantheta)+(1-tantheta...

    Text Solution

    |

  7. If sectheta+tantheta=2 , then the value of sectheta is

    Text Solution

    |

  8. If cosectheta-sintheta=landsectheta-costheta=m, then l^(2)m^(2)(l^(2)+...

    Text Solution

    |

  9. If (2sintheta-costheta)/(costheta+sintheta)=1 , then value of cotthet...

    Text Solution

    |

  10. If r sintheta=(7)/(2)andrcostheta=(7sqrt(3))/(2) then the value of the...

    Text Solution

    |

  11. (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta) is equal to -

    Text Solution

    |

  12. If (sintheta)/(x)=(costheta)/(y) then sintheta-costheta is equal to

    Text Solution

    |

  13. If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then fin...

    Text Solution

    |

  14. If k=(1-sinalpha)(1-sinbeta)(1-singamma)=(1+sinalpha)(1+sinbeta)(1+si...

    Text Solution

    |

  15. The numerical value of (1)/(1+cot^(2)theta)+(3)/(1+tan^(2)theta)+2 ...

    Text Solution

    |

  16. If thetagt0 be an acute angle , then the value of theta in deg...

    Text Solution

    |

  17. If f(x) = 3(sin x - cos x)^(4) + 6(sin x + cos x)^(2) +4(sin^(6)x + co...

    Text Solution

    |

  18. The value of sectheta((1+sin theta)/(costheta)+(costheta)/(1+sinthe...

    Text Solution

    |

  19. The value of cot17^(@)(cot73^(@)cos^(2)22^(@)+(1)/(cot17^(@)sec^(2)...

    Text Solution

    |

  20. The elimination of theta from x cos theta+ysin theta=2 and xsin theta-...

    Text Solution

    |