Home
Class 11
MATHS
Let tanalpha=a/(a+1) and tan beta=1/(2a+...

Let `tanalpha=a/(a+1)` and `tan beta=1/(2a+1)` then `alpha+beta` is

A

`pi/4`

B

`pi/3`

C

`pi/2`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

Let tan alpha = a/(a+1) and tan beta =1/(2a +1) , then alpha + beta is:

If tanalpha=m/(m+1) , tanbeta=1/(2m+1) prove that alpha+beta=pi/4

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

If alpha ne beta " and " a tan alpha + b tan beta = (a + b) "tan" (alpha + beta)/2,"show that" (cos alpha)/(cos beta) = a/b.

If" " n tan alpha = (n+1) tan beta " then show that", tan (alpha - beta) = (sin 2 beta)/(2n + 1 - cos2 beta).

If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a) tanalpha=2tanbeta (b) tanbeta=2tanalpha (c) 2tanalpha=3tanbeta (d) 3tanalpha=2tanbeta

If tan alpha =(1+2^(-x))^(-1) and tan beta =(1+2^(x+1))^(-1) then the value of (alpha + beta) is-

If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. The sum of the series underset(n=1)sum sin((nipi)/720) is

    Text Solution

    |

  2. The minimum value of 2^(sin x) + 2^(cos x) is

    Text Solution

    |

  3. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

    Text Solution

    |

  4. The expression tanA(1-cotA)+cotA/(1-tanA) can be written as

    Text Solution

    |

  5. For 0leP, Qle(pi/2)if sinP+cosQ=2 then the value of tan((P+Q)/2) is eq...

    Text Solution

    |

  6. Let f(theta)=(1+sin^2 theta)(2-sin^2 theta) then for all values

    Text Solution

    |

  7. The maximum and minimum values of cos^6 theta +sin^6 theta are respect...

    Text Solution

    |

  8. The value of cos^2 75^@ +cos^2 45^@ +cos^2 15^@- cos^2 30^@-cos^2 60^@...

    Text Solution

    |

  9. If sin^2 theta+3cos theta=2 then cos^3 theta+sec^3 theta is

    Text Solution

    |

  10. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

    Text Solution

    |

  11. In a DeltaPQR if 3sinP+4cosQ=6 and 4sinQ+3cosP=1 then the angle R is e...

    Text Solution

    |

  12. The positive integral value of n gt 3 satisfying the equation 1/(sin(p...

    Text Solution

    |

  13. If A=sin^2theta+cos^4theta then for all real values of theta

    Text Solution

    |

  14. If sintheta=(2t)/(1+t^2) and theta lies in the second quadrant then co...

    Text Solution

    |

  15. The number of solutions of 2sinx+cosx=3 is

    Text Solution

    |

  16. Let tanalpha=a/(a+1) and tan beta=1/(2a+1) then alpha+beta is

    Text Solution

    |

  17. If theta+phi=pi/4 then (1+tan theta)(1+tan phi) is equal to

    Text Solution

    |

  18. If sin theta+cos theta=0 and 0gt theta gt phi then theta

    Text Solution

    |

  19. The value of cos15^@-sin15^@ is

    Text Solution

    |

  20. The period of the function f(x)=cos4x+tan3x is

    Text Solution

    |