Home
Class 11
MATHS
If tanalpha=(1+2^(-x))^(-1), tanbeta=(1+...

If `tanalpha=(1+2^(-x))^(-1), tanbeta=(1+2^(x+1))^(-1)`, then `alpha+beta=`

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|16 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 12|1 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+beta equals

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

If tan alpha=(x)/(x+1) and tan beta=(1)/(2x+1), then alpha+beta is

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

If tanalpha=(m)/(m+1)andtan beta=(1)/(2m+1) , then (alpha+beta)=?

If tanalpha=(1)/(3)andtanbeta=(1)/(2), then: tan(alpha+beta)=

If cos alpha=(1)/(2)(x+(1)/(x))cos beta=(1)/(2)(y+(1)/(y)) then cos(alpha-beta) is equal to

Given that tanalpha=m//(m+1),tanbeta=1//(2m+1) , then what is the value of alpha+beta ?

If tanalpha=(1)/(7)&tanbeta=(1)/(3) , then cos2alpha=?

if tan(alpha+beta)=(1)/(2) and tanalpha=(1)/(3), then tanbeta =______.

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

    Text Solution

    |

  2. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

    Text Solution

    |

  3. If tanalpha=(1+2^(-x))^(-1), tanbeta=(1+2^(x+1))^(-1), then alpha+beta...

    Text Solution

    |

  4. If tanA+tanB+tanC=tanA.tanB.tanC, then-

    Text Solution

    |

  5. The value of sin10^(@)+2sin20^(@)+sin30^(@)+….+sin360^(@) is equal to

    Text Solution

    |

  6. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

    Text Solution

    |

  7. If f(x)=sin(3x)/sin x,x!=npi, then the range of values of f(x) for ...

    Text Solution

    |

  8. If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0, then cot((x+y)/2...

    Text Solution

    |

  9. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

  10. Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

    Text Solution

    |

  11. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

    Text Solution

    |

  12. Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 ...

    Text Solution

    |

  13. The general solution of tan3x=1 is

    Text Solution

    |

  14. If 2tan^(2)theta=sec^(2)theta, then the general solution of theta-

    Text Solution

    |

  15. Number of principle solution(s) of the equation 4.16^(sin^(2)x) = 2^(6...

    Text Solution

    |

  16. If tantheta-sqrt2sectheta=sqrt3 then find the general solution of thet...

    Text Solution

    |

  17. The number of solution of the equation tan^(2)-sec^(10)x+1=0 in (0,10)...

    Text Solution

    |

  18. The solution set of (5+4costheta)(2costheta+1)=0 in the interval [0,2p...

    Text Solution

    |

  19. The equation sinx cosx=2 has:

    Text Solution

    |

  20. If 0<=x<=3pi ,0<=y<=3pi and cos x .sin y = 1 , then find the possible ...

    Text Solution

    |