Home
Class 11
MATHS
If tan theta+sec theta=x" show that 2 ta...

If `tan theta+sec theta=x" show that 2 tan "theta=x -1/x, 2 sec theta=x+1/x.` Hence show that `sin theta=(x^(2)-1)/(x^(2)+1)`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2)-1)/(x^(2)+1)`
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

If tan theta = 1 , then sec theta = …….

If 2 cos theta=x+1/x then prove that cos 2 theta=1/2 (x^(2)+1/x^(2))

If x=atan theta and y=b sec theta then

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

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

IF tan 2 theta . Tan theta = 1 then theta is

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

If sec theta = x + (1)/(4x) , then sec theta + tan theta =

Prove: sec theta + tan theta = 1/(sec theta - tan theta)

FULL MARKS-TRIGONOMETRY-Additional Questions Solved
  1. Prove that (sec theta+cos theta) (sec theta-cos theta)=tan^(2) theta+s...

    Text Solution

    |

  2. If tan theta+sec theta=x" show that 2 tan "theta=x -1/x, 2 sec theta=x...

    Text Solution

    |

  3. If tan theta+sin theta= p, tan theta-sin theta=q and p gt q " then sho...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Write the general form for tantheta

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |