Home
Class 10
MATHS
prove that: (tan theta)/(1-cot theta)+(c...

prove that:
`(tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta cosec theta`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-II) TYPE QUESTIONS |27 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

(tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta*cos ec theta

tan theta+(1)/(tan theta)=sec theta cosec theta

Prove that (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta+tan theta

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + cos theta cosec theta

Prove each of the following identities : (tan theta)/((1-cot theta)) + (cot theta)/((1- tan theta)) = (1+ sec theta "cosec" theta)

Prove the trigonometric identities: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+tan theta+cot theta

Prove that: ((tan theta)/(1-tan theta))-((cot theta)/(1-cot theta))=(cos theta+sin theta)/(cos theta-sin theta)

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

Prove that: cot theta + tan theta = cosec theta sec theta .

Prove that: (sin theta)/(1 - cos theta) + (tan theta)/(1 + cos theta) = cosec theta + cot theta + sec theta cosec theta - cosec theta

EDUCART PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS -LONG ANSWER TYPE QUESTIONS
  1. A ladder rests against a vertical wall at inclination alpha to the hor...

    Text Solution

    |

  2. There are two temples, one on each bank of a river, just opposite t...

    Text Solution

    |

  3. A boy standing on a horizontal plane finds a bird flying at a distance...

    Text Solution

    |

  4. prove that: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec ...

    Text Solution

    |

  5. The lower window of a house is at a height of 2m above the ground and ...

    Text Solution

    |

  6. Prove that: (sin theta)/(cot theta + "cosec"theta) = 2 + (sin theta)/(...

    Text Solution

    |

  7. Prove that (sinA -cos A+1)/(sin A + cos A - 1) = (1)/(sec A - tan A)

    Text Solution

    |

  8. A man in a boat rowing away from a light house 100 m high takes 2 minu...

    Text Solution

    |

  9. Two poles of equal heights are standing opposite each other on either...

    Text Solution

    |

  10. The shadow of a flagstaff is three times as long as the shadow of the...

    Text Solution

    |

  11. Prove that: (sinA - 2sin^(3)A)/(2 cos^(3)A - cosA) = tan A

    Text Solution

    |

  12. A straight highway leads to the foot of a tower. A man standing at ...

    Text Solution

    |

  13. The angle of elevation of a cloud from a point 10 meters above the sur...

    Text Solution

    |

  14. From a point A on the ground , the angles of elevation of the top of a...

    Text Solution

    |

  15. A 1.5m tall boy is standing at some distance from a 30m tall buildi...

    Text Solution

    |

  16. From the top of a 120 m hight tower a man observes two cars on the opp...

    Text Solution

    |

  17. A vertical tower stands on a horizontal plane and is surmounted by a f...

    Text Solution

    |

  18. From a point 200 m above a lake , the angle of elevation of a cloud is...

    Text Solution

    |

  19. A bird is sitting on the top of a 80 m high tree. From a point on the ...

    Text Solution

    |

  20. As observed from the top of a 100 m high light house from the sea leve...

    Text Solution

    |