Home
Class 10
MATHS
Prove that: sqrt((sectheta -1)/(sec thet...

Prove that: `sqrt((sectheta -1)/(sec theta +1)) + sqrt((sec theta +1)/(sec theta -1)) = "2cosec" theta`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |42 Videos

  • INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-I) TYPE QUESTIONS |15 Videos

  • COORDINATE GEOMETRY

    EDUCART PUBLICATION|Exercise LONG ANSWER (LA) TYPE QUESTIONS (4 MARKS) |7 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions [4 marks]|10 Videos

Similar Questions

Explore conceptually related problems

Prove that: sqrt((sec theta-1)/(sec theta +1)) + sqrt((sec theta + 1)/(sec theta-1)) = 2 "cosec" theta

sqrt((sec theta-1)/(sec theta+1))+sqrt((sec theta+1)/(sec theta-1))=2cos ec theta

Prove that : sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sec theta-1))=2"cosec"theta

(sec^2theta-1)(cosec^2theta-1)=1

Prove that : (tan theta)/(sec theta -1) + (tan theta)/(sec theta + 1) = 2 cosec theta

Prove that: (sec theta-1)/(sec theta+1)=((sin theta)/(1+cos theta))^(2)

Prove that (sec 8theta-1)/(sec 4 theta -1) = (tan 8theta)/(tan 2theta)

Prove that (sec4 theta-1)/(sec2 theta-1)=(tan4 theta)/(tan theta)

Prove that: (sec8 theta-1)/(sec4 theta-1)=(tan8 theta)/(tan2 theta)

(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)=2sec^2theta

EDUCART PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS -SHORT ANSWER (SA-II) TYPE QUESTIONS
  1. Prove : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0.

    Text Solution

    |

  2. If sin theta+cos theta=sqrt3, then prove that tan theta+cot theta=1

    Text Solution

    |

  3. Prove that : (sin^(4)theta- cos^(4) theta+ 1) "cosec"^(2)theta=2

    Text Solution

    |

  4. Prove that : (2 cos^(2) theta-cos theta)/(sin theta-2 sin^(3)theta)=...

    Text Solution

    |

  5. If tanA=(3)/(4), then show that sin A cos A=(12)/(25)

    Text Solution

    |

  6. Prove that: (tantheta/(1-tantheta))-(cottheta/(1-cottheta))=(costheta+...

    Text Solution

    |

  7. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

    Text Solution

    |

  8. Prove that: (tanA + tanB)/(cotA+cotB)=tanAtanB

    Text Solution

    |

  9. A ladder 15 metres long just reaches the top of a vertical wall. If th...

    Text Solution

    |

  10. Prove that: sqrt((sectheta -1)/(sec theta +1)) + sqrt((sec theta +1)/(...

    Text Solution

    |

  11. Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(...

    Text Solution

    |

  12. Prove that: (1 + cot A - "cosec"A)(1 + tanA + secA) =2

    Text Solution

    |

  13. If 4 tan theta = 3, evaluate (4 sin theta - cos theta +1)/(4 sin theta...

    Text Solution

    |

  14. A player sitting on the top of a tower of height 20 m observes the ang...

    Text Solution

    |

  15. Using the formula cos 2theta = 2 cos^(2)theta - 1, find the value of c...

    Text Solution

    |

  16. If sintheta + costheta = sqrt(3), then prove that tantheta + cot theta...

    Text Solution

    |

  17. Prove that : (cosA)/(1+sin A) +(1+sinA)/(cosA)=2 sec A

    Text Solution

    |

  18. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

    Text Solution

    |

  19. If 2sin^(2)theta-cos^(2)theta=2, then find the value of theta.

    Text Solution

    |

  20. The shadow of a tower standing on a level plane is found to be 50 m l...

    Text Solution

    |