Home
Class 10
MATHS
If sintheta + cosectheta= 2, then prove ...

If `sintheta + cosectheta= 2`, then prove that `sin^100theta + cosec^100 theta = 2`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES

    KALYANI PUBLICATION|Exercise EXERCISE|77 Videos

  • RECAPITULATION: RATIONAL AND IRRATIONAL NUMBERS

    KALYANI PUBLICATION|Exercise EXERCISE|23 Videos

  • similarity of geometric figures

    KALYANI PUBLICATION|Exercise EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

If tantheta+ cot theta = 2 , then prove that tan^10theta + cot^10 theta =2

If sin^2theta + sin^ 4theta = 1 , then prove that cos^2theta+ costheta= 1

If tan^4theta - tan^2 theta= 1 , then prove that cos^4theta+ cos^2theta = 1

If 7 sin^2theta + 3 cos^2 theta = 4, then prove that tantheta = 1/sqrt(3)

If a costheta -b sin theta = c ,then prove that a sintheta + b costheta=+-sqrt(a^2+b^2-c^2 )

If 3 tantheta+ cottheta = 5cosec theta, then prove that costheta =1/2

If cos theta+sin theta=sqrt 2 cos theta ,then prove that cos theta-sin theta = sqrt 2 sin theta .

If tan theta = 3/4 , proved that sin^2 theta+cos^2 theta is 1.

If tan theta= (sqrt 2)-1 ,prove that sin theta cos theta = 1/2 . .

If tan^2 theta=1-e^2 then prove that sec theta+tan^3 theta cosec theta=(2-e^2)^(3/2)

KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. If cosectheta + cottheta= k, then prove that costheta=(k^2-1) /(k^2+1)

    Text Solution

    |

  2. If tantheta+ cot theta = 2, then prove that tan^10theta + cot^10 theta...

    Text Solution

    |

  3. If sintheta + cosectheta= 2, then prove that sin^100theta + cosec^100 ...

    Text Solution

    |

  4. If sintheta - costheta = 1, then prove that sintheta + costheta =+-1

    Text Solution

    |

  5. If cos^2theta- sin^2theta= tan^2 phi, then prove that cos^2phi – sin^2...

    Text Solution

    |

  6. If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha)then prove that sqr...

    Text Solution

    |

  7. If tan^2alpha = 1 + tan^2beta,then prove that cos^2 beta = cot^2alpha

    Text Solution

    |

  8. If a costheta -b sin theta = c,then prove that a sintheta + b costheta...

    Text Solution

    |

  9. If sintheta +costheta =sqrt(2) costhetathen prove that costheta -sint...

    Text Solution

    |

  10. If tantheta +sintheta=mand tantheta-sintheta=nprove that m^2-n^2=4sqrt...

    Text Solution

    |

  11. Show that (a+b) ^2=4ab cos^2theta is possible if a=b

    Text Solution

    |

  12. Eliminate theta x=r costheta, y=r sintheta

    Text Solution

    |

  13. Eliminate theta and phi x sintheta=a, y tantheta=b

    Text Solution

    |

  14. Eliminate theta, x=a cos^3theta,y=b sin^3theta

    Text Solution

    |

  15. Eliminate theta and phi x costheta+y sintheta=a, y costheta-x sintheta...

    Text Solution

    |

  16. Eliminate theta and phi costheta +sintheta=a, sintheta*costheta =b

    Text Solution

    |

  17. Eliminate theta and phi sintheta +costheta =x, tantheta +cottheta=y

    Text Solution

    |

  18. Eliminate theta x=a sintheta , y=a costheta

    Text Solution

    |

  19. Eliminate theta and phi sintheta+costheta=a, sin^3theta+cos^3theta=b

    Text Solution

    |

  20. Eliminate theta and phi sintheta+sinphi=a ,costheta+cosphi=b, theta-p...

    Text Solution

    |