Home
Class 11
MATHS
If 0lt=alpha,betalt=90^@ and tan(alpha+b...

If `0lt=alpha,betalt=90^@` and `tan(alpha+beta)=3` and `tan(alpha-beta)=2` then value of `sin2alpha` is

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

If 0ltalpha,betaltpi and cos alpha+cos beta -cos(alpha+beta)=(3)/(2) , then the value of sqrt3 sin alpha+cos alpha is equal to

If 0 lt beta lt alpha lt pi//4, cos(alpha+beta)=3//5 and cos(alpha-beta)=4//5 , then evaluate sin 2alpha .

If sin alpha=A sin(alpha+beta),Ane0 , then The value of tan alpha is

If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)/2) is equal to-

If tan (alpha-beta)=(sin 2beta)/(3-cos 2beta) , then

cos(alpha+beta)+sin(alpha-beta)=0"and"tanbeta=1/2009 then value of tan3α

If alpha+beta=pi/4 then (1+tan alpha)(1+tan beta)=

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

If sin alpha + sin beta=a and cos alpha+cosbeta=b then tan((alpha-beta)/2) is equal to

(1+tan alpha tan beta)^2 + (tan alpha - tan beta)^2 =

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. The complete solution of the equation 7cos^2x+sinxcosx-3=0 is given ...

    Text Solution

    |

  2. If cos(sinx)=0, then x lies in (a) (pi/4,pi/2)uu(pi/2,\ pi) (b) (-pi/4...

    Text Solution

    |

  3. If 0lt=alpha,betalt=90^@ and tan(alpha+beta)=3 and tan(alpha-beta)=2 t...

    Text Solution

    |

  4. If tanA\ "and" \ tanB are the roots of x^2-2x-1=0, then sin^2(A+B) is ...

    Text Solution

    |

  5. If cos2x-3cosx+1=(cos e c\ x)/(cotx-cot2x),\ then which of the foll...

    Text Solution

    |

  6. The solutions of the equation sinx+2sin2x+sin3x=cosx+2cos2x+cos3x in t...

    Text Solution

    |

  7. If x in [-(5pi)/2,(5pi)/2], then the greatest positive solution of 1+s...

    Text Solution

    |

  8. Number of values of x in(-2pi,2pi) satisfying the equation 2^(sin^(2)...

    Text Solution

    |

  9. General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-...

    Text Solution

    |

  10. The most general value for which tantheta=-1costheta=1/(sqrt(2))i s(n ...

    Text Solution

    |

  11. If cos^2x+cos^2 2x+cos^2 3x=1 then (a) x=(2n+1)pi/4,\ n in I (b) x=(2...

    Text Solution

    |

  12. If 4cos^2theta+sqrt(3)=2(sqrt(3)+1) costheta, then general value of th...

    Text Solution

    |

  13. (a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s" 3/4 (b) 4/3 (c) ...

    Text Solution

    |

  14. If theta(1), theta(2), theta(3), theta(4) are roots of the equation "s...

    Text Solution

    |

  15. The number of solution(s) of the equation cos2theta=(sqrt(2)+1)(cos...

    Text Solution

    |

  16. Find all values of theta lying between 0 and 2 pi , satisying the e...

    Text Solution

    |

  17. The value(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2thet...

    Text Solution

    |

  18. Given that A ,\ B are positive acute angles and sqrt(3)\ sin2A=sin2B...

    Text Solution

    |

  19. The solution(s) of 4cos^2xsinx-2sin^2x=3sinx is/are npi; n in I (b) n...

    Text Solution

    |

  20. If ((1-asinx)/(1+asinx))sqrt((1+2asinx)/(1-2asinx))=1 , is where a in ...

    Text Solution

    |