Home
Class 11
MATHS
If costheta=(cosalpha-e)/(1-e cosalpha),...

If `costheta=(cosalpha-e)/(1-e cosalpha),\ ` prove that `tantheta/2=+-sqrt((1+e)/(1-e))tanalpha/2dot`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 Videos

Similar Questions

Explore conceptually related problems

Prove that : cos^(-1)((cosalpha+cosbeta)/(1+cosalphacosbeta))=2\ tan^(-1)(tanalpha/2tanbeta/2)

If (2sinalpha)/(1+cosalpha +sinalpha)=y , then prove that (1-cosalpha+sinalpha )/(1+sinalpha) is also equal to y.

Prove that (1-cosalpha)/sinalpha=tan(alpha/2)

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) then show that sinalpha+cosalpha=sqrt(2)costheta .

costheta=1/sqrt(2) and tantheta=-1

(a+2)sinalpha(2a-1)cosalpha=(2a+1)if tanalpha is

If tan[(theta)/(2)]=sqrt((1-e)/(1+e))tan[(phi)/(2)] then prove that cos phi=(cos theta-e)/(1-e cos theta)

int(e^(2x))/(sqrt(1-e^(2x)))dx

int(e^(x))/(sqrt(e^(2x)-1))dx=

If piltalphalt(3pi)/2lt" then "sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If cos(alpha+beta)=4/5; sin(alpha-beta)=5/13 and alpha,beta lie betwee...

    Text Solution

    |

  2. sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)+sin^4(7pi/16)=3/2

    Text Solution

    |

  3. If costheta=(cosalpha-e)/(1-e cosalpha),\ prove that tantheta/2=+-sqr...

    Text Solution

    |

  4. Prove that, cot 7 1/2 ^@ or tan 82 1/2 ^@ = (sqrt(3)+sqrt(2))(sqrt(2)+...

    Text Solution

    |

  5. Prove that : cosec theta + cosec 2 theta + cosec 2^2 theta +.............

    Text Solution

    |

  6. Find the maximum & minimum values of 27^(cos2x). 81^(s in2x)

    Text Solution

    |

  7. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  8. if m*tan(theta-30)=n*tan(theta+120), show that cos2theta=(m+n)/(2(m-n)...

    Text Solution

    |

  9. If the value of the expression sin 25^@* sin 35^@* sin 85^@ can be exp...

    Text Solution

    |

  10. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  11. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

    Text Solution

    |

  12. If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' ...

    Text Solution

    |

  13. Prove that in an acute triangle ABC, the least values of Sigma secA an...

    Text Solution

    |

  14. If tan(alpha)= p/q where alpha=6 beta, alpha being an acute angle, pr...

    Text Solution

    |

  15. If tan(pi/4+)=tan^3(pi/4+x/2)dot Prove that (siny)/(sinx)=(3+sin^2x)/...

    Text Solution

    |

  16. Q. Prove that from the equality sin^4 alpha/a+cos^4 alpha/b=1/(a+b) fo...

    Text Solution

    |

  17. If P=cos(pi/19)+cos((3pi)/19)+cos((5pi)/19)+....+cos((17pi)/19) and Q=...

    Text Solution

    |

  18. Show that 4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)

    Text Solution

    |

  19. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  20. Prove that the triangle ABC is equilateral if cotA+cotB+cotC=sqrt3

    Text Solution

    |