Home
Class 10
MATHS
Prove that (sin theta + cosec theta)^2 +...

Prove that `(sin theta + cosec theta)^2 + (cos theta + sec theta)^2` = `7 + tan^2 theta + cot^2 theta`.

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|70 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    AGRAWAL PUBLICATION|Exercise EXAMPLE|54 Videos

Similar Questions

Explore conceptually related problems

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

Prove that (1+tan theta )^2 + (1+cot theta)^2 = (sec theta + cosec theta)^2

Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

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

Prove that (1+cot theta - "cosec" theta )(1+ tan theta +sec theta )=2.

prove that: (1-tan theta)^2+(1-cot theta)^2=(sec theta - cosec theta)^2

Prove that: (sin theta-cos ec theta)^(2)+(cos theta-sec theta)^(2)=cot^(2)theta+tan^(2)theta-1

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

Cosider the following : 1. tan ^(2) theta - sin ^(2) theta = tan ^(2) theta sin ^(2) theta 2. (cosec theta - sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) =1 Which of the above is/are correct ?

AGRAWAL PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS-EXAMPLE
  1. A ladder 15 metres long just reaches the top of a vertical wall. If th...

    Text Solution

    |

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

    Text Solution

    |

  3. Prove that (sin theta + cosec theta)^2 + (cos theta + sec theta)^2 = 7...

    Text Solution

    |

  4. Prove that: (1 + cot theta - "cosec" theta) (1+ tan theta + sec theta)...

    Text Solution

    |

  5. If 4 tan theta = 3, evaluate frac(4 sin theta - cos theta + 1)(4 sin t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If sinθ+ cosθ= sqrt 3, then prove tanθ + cotθ= 1.

    Text Solution

    |

  9. Prove that following identity: (cos A)/(1 + sin A) + (1 + sin A)/(cos ...

    Text Solution

    |

  10. Prove that sec^(2) theta + "cosec"^(2) theta = sec^(2) theta "cosec"^(...

    Text Solution

    |

  11. If 2 sin^2 theta - cos^2 theta = 2, find the value of theta.

    Text Solution

    |

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

    Text Solution

    |

  13. From a window, 15 m high above the ground, the angles of elevation and...

    Text Solution

    |

  14. A moving boat is observed from the top of a 150 m high cliff moving aw...

    Text Solution

    |

  15. An observer 1.5 m tall is 20 sqrt 3 m away from a chimney. The angle o...

    Text Solution

    |

  16. Two men on either side of a tower 75 m high observe the angle of eleva...

    Text Solution

    |

  17. The angles of depression of the top and bottom of a 50 m high building...

    Text Solution

    |

  18. A man standing on the deck of a ship, which is 10 m above water level,...

    Text Solution

    |

  19. A statue 1.6 m tall, stands on the top of a pedestal. From a point on ...

    Text Solution

    |

  20. The angle of elevation of an aeroplane from a point A on the ground is...

    Text Solution

    |