Home
Class 11
MATHS
Prove that (1+tan A+sec A)(1+cot A-" cos...

Prove that `(1+tan A+sec A)(1+cot A-" cosec A")=2`

Text Solution

Verified by Experts

The correct Answer is:
`(2 sin A cos A)/(sin A cos A)=2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.2|11 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.12|20 Videos
  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove that (sin A)/(1 + cos A) + (sin A)/(1 - cos A) = 2 cosec A.

Prove: sin θ(1 + tan θ) + cos θ(1 + cot θ) = (sec θ + cosec θ) .

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

Prove that 1 + ( cot^(2) theta)/(1 + cos ec theta) = cosec theta

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

FULL MARKS-TRIGONOMETRY-Additional Questions Solved
  1. If tan theta+sin theta= p, tan theta-sin theta=q and p gt q " then sho...

    Text Solution

    |

  2. If cos theta+sin theta=sqrt2 cos theta, show that cos theta-sin theta=...

    Text Solution

    |

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

    Text Solution

    |

  4. An athlete runs 4 times around a circular running track to describe 17...

    Text Solution

    |

  5. Find the angle through which a pendulum swings if its length is 75cm a...

    Text Solution

    |

  6. The angle of a quadrilateral are in A.P. and the greatest angle is 120...

    Text Solution

    |

  7. A railroad curve is to be laid on a circle. What radius should be used...

    Text Solution

    |

  8. A horse is tied to a post by a rope. If the horse moves along a circul...

    Text Solution

    |

  9. A circular wire of radius 3 cm is out bent so as to lie along the circ...

    Text Solution

    |

  10. Let alpha, beta" such that "pi lt alpha-beta lt 3pi." If sin "alpha+si...

    Text Solution

    |

  11. Prove that sin 600^(@)* tan (-690^(@))+sec 840^(@)*cot(-945^(@))=3/2

    Text Solution

    |

  12. Prove that sin (270^(@)-theta) sin (90^(@)-theta)-cos(270^(@)-theta) c...

    Text Solution

    |

  13. Prove that cos 24^(@)+cos 55^(@)+cos 125^(@)+cos 204^(@)+cos 300^(@)=1...

    Text Solution

    |

  14. Prove that cos^(2)""pi/8+cos^(2) ""(3pi)/(8)+cos^(2)""(5pi)/(8)+cos^(2...

    Text Solution

    |

  15. Prove that [1+cot alpha-sec(alpha+pi/2)] [1+cot alpha+sec (alpha+pi/2)...

    Text Solution

    |

  16. Write the general form for tantheta

    Text Solution

    |

  17. Simplify (cos(90^@+theta)sec (-theta)tan(180^(@)-theta))/(sec(360^(@)-...

    Text Solution

    |

  18. Find x from the equation cosec (90^(@)+A)+x cos A cot (90^(@)+A)=sin(9...

    Text Solution

    |

  19. Prove that sin (A+B) sin (A-B)=cos^(2) B-cos^(2) A

    Text Solution

    |

  20. Prove that (i) sin A+sin (120^(@)+A)+sin(240^(@)+A)=0 (ii) cos A+c...

    Text Solution

    |