Home
Class 11
MATHS
Prove that : (sec A - cosec A ) (1 + tan...

Prove that : `(sec A - cosec A ) (1 + tan A + cot A)= tan A sec A-cot A cosec A`.

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

(sec A - cos A) (cot A + tan A) = tan A sec A.

(1 + cot A — cosec A) (1 + tan A + sec A) = 2 .

Prove that sec A (1 -sin A) (sec A + tan A) =1.

sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .

Prove the following : (cot A - cos A)/(cot A + cos A) = (cosec A -1)/(cosec A + 1) .

Prove that tan A + cot A = 2 "cosec 2A" .

Prove that : cot^-1 3 + cosec^-1 sqrt5 = pi/4

Prove that : sec^2 (tan^(-1)2) + cosec^2 (cot^(-1) 3) = 15

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

Choose the correct option. Justify your choice : (sec A + tan A) (1-sin A) = ? a. sec A b. sin A c. cosec A d. cos A

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : (sec A - cosec A ) (1 + tan A + cot A)= tan A sec A-cot A...

    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

    |