Home
Class 11
MATHS
if tan (theta/2)=sqrt((1-e)/(1+e))tan (v...

if `tan (theta/2)=sqrt((1-e)/(1+e))``tan (varphi/2)`,then prove that `cos varphi=(costheta-e)/(I-ecostheta)`

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPERS 2016

    UNITED BOOK HOUSE|Exercise EXERCISE|51 Videos

  • ANNUAL EXAMINATION QUESTION PAPERS 2018

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

If tan""(theta)/(2)=sqrt((1-e)/(1+e))tan""(phi)/(2) . Then prove that cosphi=(costheta-e)/(1-ecostheta) .

If 3 tan theta tan phi=1 , then prove that 2 cos (theta+phi)=cos (theta-phi) .

Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

Prove that (cos2theta)/(1+sin2theta)=tan(pi/4-theta) .

If tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos A)/(a+ b cosA) , show that varphi = 2 theta .

If tan^4theta+tan^2theta=1 , prove that, cos^4 theta+cos^2theta=1

If tan theta = (2x - K)/(K sqrt3) " and " tan varphi = (xsqrt3)/(2 K-x), "then show that" |varphi - theta| = 30^(@).

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

If A = [(1,-tan""(theta)/(2)),(tan""(theta)/(2), 1)] and B = [(1,tan""(theta)/(2)),(-tan""(theta)/(2), 1)] show that, AB^(-1) = [(costheta,-sin theta),(sin theta, cos theta)] .

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2017-EXERCISE
  1. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

    Text Solution

    |

  2. If the ratio the sum of 1st n terms of two arithemtic series is (4n-13...

    Text Solution

    |

  3. Find the equations of the lines passing thorugh the point (4,5)making ...

    Text Solution

    |

  4. If the equation of the side BC of an equilateral triangle ABC is x+y=2...

    Text Solution

    |

  5. A circle in the first quadrant touches both the axes its centre lies o...

    Text Solution

    |

  6. Evaluate:underset(x rarr 0)(lim)((e^(x)-1)log(1+x))/(sin^(2)x)

    Text Solution

    |

  7. Find from the first principle,the derivative of f(x)=sec2xat x=pi/8.

    Text Solution

    |

  8. Prove by method of contradiction that sqrt5is an irrational number

    Text Solution

    |

  9. Prove that truth table ~(pvq)=~p~q.

    Text Solution

    |

  10. If 30 dates are named at random,find the probability that 5 of them wi...

    Text Solution

    |

  11. calculate the mean deviation about median for the following data:

    Text Solution

    |

  12. Solve: 4 sin x sin 2x sin 4x =sin3x.

    Text Solution

    |

  13. if tan (theta/2)=sqrt((1-e)/(1+e))tan (varphi/2),then prove that cos v...

    Text Solution

    |

  14. Solve the following inequation (|x+2|+2x)/(x+2)>2.

    Text Solution

    |

  15. Solve applying formula: 3x^2-(2-i)x+10-4i=0

    Text Solution

    |

  16. Out of 14 marbles 10 are red in colour and remaining 4 are of differen...

    Text Solution

    |

  17. Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n

    Text Solution

    |

  18. Prove that the locus of the mid-points of chords of length 2d units of...

    Text Solution

    |

  19. The co-ordinates of end points of a focal chord of an ellipse are (x1,...

    Text Solution

    |

  20. The ellipse x^2/a^2+y^2/b^2=1passes through the point of intersection ...

    Text Solution

    |