Home
Class 12
MATHS
If (2sinalpha)/({1+cosalpha+sinalpha})=...

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

A

`(1)/(y)`

B

y

C

1-y

D

1+y

Text Solution

Verified by Experts

The correct Answer is:
B
We have, `(2sinalpha)/(1+cosalpha+sinalpha)=y`
Then , `(4+"sin"(alpha)/(2)"cos"(alpha)/(2))/(2"cos"^(2)(alpha)/(2)+2"sin"(alpha)/(2)"cos"(alpha)/(2))=y`
`rArr(2"sin"(alpha)/(2))/("cos"(alpha)/(2)+"sin"(alpha)/(2))xx(("sin"(alpha)/(2)+"cos"(alpha)/(2)))/(("sin"(alpha)/(2)+"cos"(alpha)/(2)))=y`
`rArr(1-cosalpha+sinalpha)/(1+sinalpha)=y`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|20 Videos

  • TRIGONOMETRIC FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2 (MISCELLANEOUS PROBLEMS)|26 Videos

  • VECTORS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise ( MHT CET Corner)|66 Videos

Similar Questions

Explore conceptually related problems

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

(1-cos alpha)/(sinalpha)=tan(alpha/2)

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

A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha(0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is (a) y(cosalpha+sinalpha)+x(sinalpha-cosalpha)="alpha(b)y(cosalpha+sinalpha)+x(sinalpha+cosalpha)=alpha(c)y(cosalpha+sinalpha)+x(cosalpha-sinalpha)=alpha(d)y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=alpha

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

A square of side ' a ' lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha (0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is: a. y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=a b. y(cosalpha+sinalpha)+x(sinalpha-cosalpha)=a c. y(cosalpha-sinalpha)+x(sinalpha+cosalpha)=a d. y(cosalpha+sinalpha)-x(cosalpha+sinalpha)=a

If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , show that A^(2)=[{:(cos2alpha,sin2alpha),(-sin2alpha,cos2alpha) :}].

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

If A_(alpha)=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] then (A_(alpha))^2=?

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

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES-Exercise 2 (MISCELLANEOUS PROBLEMS)
  1. If sinA+sinB=C,cosA+cosB=D, then the value of sin(A+B)=

    Text Solution

    |

  2. If theta lies in the first quardrant and costheta=(8)/( 17 ), then fi...

    Text Solution

    |

  3. If tanx+tan((pi)/(3)-x)+tan((2pi)/(3)+x)=3, then

    Text Solution

    |

  4. If sin(theta+alpha)=a andsin(theta+beta)=b, then prove that cos(alpha...

    Text Solution

    |

  5. The expression cos^(2)(A-B)+cos^(2)B-2cos(A-B)cosAcosB is

    Text Solution

    |

  6. If tanalpha,tanbeta are the roots of the equation x^(2)+px+q=0(pne0), ...

    Text Solution

    |

  7. If cos(A-B)=3/5 and tanA .tan B=2, then

    Text Solution

    |

  8. tan100^0+tan125^0+tan100^0tan125^0 is equal to

    Text Solution

    |

  9. If pi/2 lt alpha lt pi, pi lt beta lt 3pi/2; sin alpha = 15/17 and tan...

    Text Solution

    |

  10. If sintheta=(12)/(13),(0ltthetalt(pi)/(2))and cosphi=-(3)/(5),(piltph...

    Text Solution

    |

  11. If tanA-tan B=x, and cot B-cotA=y, then find the value of cot(A-B).

    Text Solution

    |

  12. sin4theta can be written as

    Text Solution

    |

  13. If cos 2B =cos(A+C)/cos( A-C), then tanA, tanB, tanC are in

    Text Solution

    |

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

    Text Solution

    |

  15. (sintheta+sin2theta)/(1+costheta+cos2theta)=

    Text Solution

    |

  16. (sin3theta-cos3theta)/(sintheta+costheta)+1=

    Text Solution

    |

  17. If tanalpha=(1)/(7) and tanbeta=(1)/(3), then cos2alpha is equal to

    Text Solution

    |

  18. If tanbeta=costhetatanalpha, then "tan"^(2)(theta)/(2)=

    Text Solution

    |

  19. sec^2 A(1+sec2A) = 2sec2A

    Text Solution

    |

  20. 2sinAcos^3A-2sin^3AcosA=

    Text Solution

    |