Home
Class 14
MATHS
If (2sinalpha)/(1+cosalpha +sinalpha)=...

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

A

y

B

`1//y`

C

`1+y`

D

`(1)/(1+y)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise EXERCISES (Multiple Choice Questions)|350 Videos
  • TIME, SPEED & DISTNACE

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|108 Videos

Similar Questions

Explore conceptually related problems

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

If (2sinalpha)/({1+cosalpha+sinalpha})=y , then ({1-cosalpha+sinalpha})/(1+sinalpha) =

If A=[(sinalpha,cosalpha),(-cosalpha,sinalpha)] , the prove that A'A=I .

If sin.alpha/2+cos.alpha/2=1.4, then: sinalpha=

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) , then sinalpha+cosalphaandsinalpha-cosalpha are equal to

costheta-sintheta=cosalpha-sinalpha

If cosalpha+cosbeta=0=sinalpha+sinbeta , then prove that cos2alpha +cos2beta=-2cos(alpha +beta) .

If 0^(@)ltalphalt90^(@) , then solve the equation (sinalpha)/(1-cosalpha)+(sinalpha)/(1+cosalpha)=4 .

(sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

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

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. (sin3theta+sin5theta+sin7theta+sin9theta)/(cos3theta+cos5theta+cos7the...

    Text Solution

    |

  2. If ABCD is a cyclic quadrilateral then cos A + cos B + cos C + cos D ...

    Text Solution

    |

  3. If (2sinalpha)/(1+cosalpha +sinalpha)=y , then prove that (1-cosalph...

    Text Solution

    |

  4. 1-(sin^(2)y)/(1+cosy)+(1+cosy)/(siny)-(siny)/(1-cosy)=?

    Text Solution

    |

  5. (sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))=?

    Text Solution

    |

  6. If x=secphi-tanphi&y=cosecphi+cotphi, then

    Text Solution

    |

  7. If (sin^(4)alpha)/a +(cos^(4)alpha)/b = 1/(a+b), show that sin^(8)alph...

    Text Solution

    |

  8. If 2ycostheta=x sintheta and 2xsectheta-ycosectheta=3, then x^(2)+4y^(...

    Text Solution

    |

  9. If tantheta-cottheta=a and costheta+sintheta=b, then (b^(2)-1)^(2)(a^(...

    Text Solution

    |

  10. If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha), then sinalpha+cos...

    Text Solution

    |

  11. If sintheta+sinphi=aandcostheta+cosphi=b, then tan((theta-phi)/(2))=?

    Text Solution

    |

  12. cos^(2)alpha+cos^(2)(alpha+120^(@))+cos^(2)(alpha-120^(@))=?

    Text Solution

    |

  13. The value of sin""(pi)/(14).sin""(3pi)/(14).sin""(5pi)/(14).sin""(7pi)...

    Text Solution

    |

  14. If tanA=(1)/(3)andtanB=(2)/(5) , what is the value of tan (2A+B) ?

    Text Solution

    |

  15. The value of sin600^(@)cos330^(@)+cos120^(@)sin150^(@) is

    Text Solution

    |

  16. If tan(A+B)=p&tan(A-B)=q, then the value of tan 2A is

    Text Solution

    |

  17. (sec8A-1)/(sec4A-1)=?

    Text Solution

    |

  18. In a DeltaABC,angleC=90^(@), then the equation whose roots are tan A &...

    Text Solution

    |

  19. If sinA+sin2A=xandcosA+cos2A=y, then (x^(2)+y^(2))(x^(2)+y^(2)-3)=?

    Text Solution

    |

  20. If cos2B=(cos(A+C))/(cos(A-C)), then tan A, tan B, tan C are in

    Text Solution

    |