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

  • MODEL QUESTION PAPERS-SET 1

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos
  • MODEL QUESTION PAPERS-SET 11

    UNITED BOOK HOUSE|Exercise EXERCISE|46 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((3)/(2)), then the sum of infinity of the series, 1+2 (1-cos theta ) + 3 (1-cos theta ) ^(2) +4(1- cos theta )^(3)+… is-

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)).

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 10-EXERCISE
  1. Prove that ((i-sqrt3)/(i+sqrt3))^200+((i+sqrt3)/(-i+sqrt3))^200= -1

    Text Solution

    |

  2. If the sum of 1st n tenn of a GP is Sn=1 and S(2n)=4,show that S(3n):S...

    Text Solution

    |

  3. In the expansion of (x+P)^n,the 6th ,7th,8th and 9th terms are a,b,c a...

    Text Solution

    |

  4. Show that the straight lines x/a+y/b=1/c, x/b+y/c=1/a and x/c+y/a=1/b ...

    Text Solution

    |

  5. The co-ordinates of the end points of a diagonal of a rectangle are (...

    Text Solution

    |

  6. Find the equation of a circle which is passes through the point (4,3) ...

    Text Solution

    |

  7. Show that the points (0. 7, 10), (-1, 6, 6) and (-4, 9, 6) form a righ...

    Text Solution

    |

  8. Differentiate (from 1st principle) sinx/xwith respect to x

    Text Solution

    |

  9. Prove that the statement , “If all the angles of a triangle are equal,...

    Text Solution

    |

  10. Prove that sqrt2 irrational, (use the method of contradiction).

    Text Solution

    |

  11. Two unbiased dice are thrown. Find the probability that the upper fac...

    Text Solution

    |

  12. If x costheta=y cos (theta+(2pi)/3)=z cos(theta+(4pi)/3)show that xy +...

    Text Solution

    |

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

    Text Solution

    |

  14. If x=-1+i sqrt2 and the value of x^(4)+4x^(3)+6x^(2)+4x+9.

    Text Solution

    |

  15. If p, q. r in G.P and1/(p-a),1/(r-p),1/(q-r) are in AP.show that p+4q+...

    Text Solution

    |

  16. Solve graphically and find the common solution region of the system of...

    Text Solution

    |

  17. If the vertices of an equilateral traingle be represented by the compl...

    Text Solution

    |

  18. If the pointP(at^2,2at) is a end point of a chord of the parabolay^2=...

    Text Solution

    |

  19. Prove that the locus of the point of iter section of the linessqrt3x-y...

    Text Solution

    |

  20. Find the locus of the midpoints of the all chords drawn from the ends ...

    Text Solution

    |