Home
Class 11
MATHS
If tan^(2) theta=1-e^(2), prove that sec...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If tan^(2)theta=1-e^(2) , then prove that sectheta+tan^(3)theta"cosec"theta=(2-e^(2))^((3)/(2)).

If tan theta =a/b , prove that a sin 2 theta+b cos 2 theta=b .

If f(x) =(1-x^2)/(1+x^2) , prove that f (tan theta)= cos 2 theta .

Prove that sin theta< theta< tan theta for theta in (0,pi/2) .

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

Solve sqrt(2) sec theta+tan theta=1 .

If tan^2 theta=2 tan^2 phi+1 , show that cos 2 theta+ sin^2 phi=0 .

If tan theta=1/ sqrt7 , then ((cosec^2 theta-sec^2 theta)/(cosec^2 theta+sec^2 theta)) =

Prove that : tan 2 theta= (2 tan theta)/(1-tan^2 theta) .

Prove that : sin 2 theta= (2 tan theta)/(1+tan^2 theta) .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If tan^(2) theta=1-e^(2), prove that sec theta + tan^(3) cosec theta =...

    Text Solution

    |

  2. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  3. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  4. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  5. Find the radian measures corresponding to the following degree measure...

    Text Solution

    |

  6. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  7. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  8. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  9. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  10. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  11. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  12. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  13. The angles of a triangle are3x^@, ((4x)/3)^g and (2 pi x)/75 radians. ...

    Text Solution

    |

  14. Express the radians the fourth angle of a quadrilateral which has thre...

    Text Solution

    |

  15. The sum of two angles is 80 grades and their difference is 18^@. Find ...

    Text Solution

    |

  16. The angles of a triangle are in the ratio 1 : 2: 3. Find the angles in...

    Text Solution

    |

  17. The vertical angle of an isosceles triangle is 2/3 rd of each of its b...

    Text Solution

    |

  18. In a right-angled triangle, the difference between two acute angles is...

    Text Solution

    |

  19. The wheel of a carriage is 91 cm in diameter and makes 5 revolutions p...

    Text Solution

    |

  20. A wheel makes 360 revolutions in one minute. Through how many radians ...

    Text Solution

    |

  21. Find the length of the arc of a circle of radius 5 cm subtending an an...

    Text Solution

    |