Home
Class 11
MATHS
alphaa n dbeta are the positive acute a...

`alphaa n dbeta` are the positive acute angles and satisfying equation `5sin2beta=3sin2alphaa n dtanbeta=3tanalpha` simultaneously. Then the value of `tanalpha+tanbeta` is _________

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Suppose that for some angles xa n dy , the equations sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2 hold simultaneously. the possible value of a is ___________

Suppose that for some angles xa n dy , the equations sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2 hold simultaneously. the possible value of a is ___________

If theta and phi are acute angles satisfying sin theta=1/2, cos phi=1/3 then theta+phi=

If alphaa n dbeta are acute angles such that t a nalpha=m/(m+1)a n dt a nbeta=1/(2m+1) , prove that alpha+beta=pi/4 .

If tanalpha=m/(m+1) and tanbeta=1/(2m+1) . Find the possible values of tan(alpha+beta)

If 5theta and 4theta are acute angles satisfying sin5theta=cos4theta , then 2sin3theta-sqrt(3)tan3theta is equal to

If tanalpha=m/(m+1) and tanbeta=1/(2m+1) . Find the possible values of (alpha+beta)

The positive integer value of n >3 satisfying the equation 1/(sin(pi/n))=1/(sin((2pi)/n))+1/(sin((3pi)/n))i s

The positive integer value of n >3 satisfying the equation 1/(sin(pi/n))=1/(sin((2pi)/n))+1/(sin((3pi)/n))i s

If each of alpha, betaa n dgamma is a positive acute angle such that sin(alpha+beta-gamma) =1/2 , cos(beta+gamma-alpha)=1/2 and tan(gamma+alpha-beta)=1, find the values of alpha,betaa n dgammadot

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If cos3theta=cos3alpha, then the value of sintheta can be given by +-s...

    Text Solution

    |

  2. If the sides a , b and c of A B C are in AdotPdot, prove that 2sinA/2...

    Text Solution

    |

  3. alphaa n dbeta are the positive acute angles and satisfying equation ...

    Text Solution

    |

  4. If a=9,b=4a n dc=8 then find the distance between the middle point of ...

    Text Solution

    |

  5. Which of the following sets can be the subset of the general solution ...

    Text Solution

    |

  6. Given both thetaa n dphi are acute angles and sintheta=1/2,cosvarphi=...

    Text Solution

    |

  7. If the cotangents of half the angles of a triangle are in A.P., then ...

    Text Solution

    |

  8. e^(|sinx|)+e^(-|sinx|)+4a=0 will have exactly four different solutions...

    Text Solution

    |

  9. If the sides of a triangle are 17 , 25a n d28 , then find the greatest...

    Text Solution

    |

  10. If both the distinct roots of the equation |sinx|^2+|sinx|+b=0in[0,pi]...

    Text Solution

    |

  11. Each question has four choices a,b,c and d out of which only one is...

    Text Solution

    |

  12. Prove: Sin(B+C−A) + Sin(C+A−B) + Sin(A+B−C) = 4SinASinBSinC.

    Text Solution

    |

  13. The number of values of yin[-2pi,2pi] satisfying the equation |sin2x|+...

    Text Solution

    |

  14. If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals

    Text Solution

    |

  15. prove that a^2sin2B+b^2sin2A=4Delta

    Text Solution

    |

  16. The equation cos^8x+bcos^4x+1=0 will have a solution if b belongs to ...

    Text Solution

    |

  17. Let f(n)=2cosn xAAn in N , then f(1)f(n+1)-f(n) is equal to (a)f(n...

    Text Solution

    |

  18. If in triangle A B C, \delta = a^2-(b-c)^2 , then find the value of ta...

    Text Solution

    |

  19. The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] d...

    Text Solution

    |

  20. If sintheta1-sintheta2=a a n d costheta1+costheta2=b , then (a)a^2+b...

    Text Solution

    |