Home
Class 12
MATHS
If alpha, beta are two values lying betw...

If `alpha, beta` are two values lying between 0 and `2pi` for which `tan theta = k` then the value of `frac{tan alpha}{2} *frac{tan beta}{2}` is....

A

-1

B

1

C

`-2/k`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan alpha}{2}+ frac{tan beta}{2} = 1 .

If alpha and beta are two different solutions lying between -(pi)/(2) and (pi)/(2) of the equation 2tan theta+sec theta=2 then tan alpha+tan beta is

Find the values of alpha lying between 0 and pi for which the inequality : tan alpha>tan^(3)alpha is valid.

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

If 3sin alpha=5sin beta then the value of tan((alpha+beta)/(2))tan((alpha-beta)/(2))

If 3sin alpha = sin beta!=0 , then the value of |(tan((alpha + beta)/2))/(tan((alpha-beta)/2))|

If a cos 2 theta + b sin 2 theta =c has alpha and beta as its solution, then the value of tan alpha + tan beta is

If alpha, beta are the roots of the equation 6x^(2) - 5x + 1 = 0 , then the value of (1)/(pi) [tan ^(-1) (alpha) + tan^(-1) (beta)] is ________

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If tan ((pi)/(4) + theta) + tan ((pi )/(4) - theta) = p sec 2 theta) t...

    Text Solution

    |

  2. The value of sin sqrt(x^(2) - pi^(2)/36) lies in the interval

    Text Solution

    |

  3. If alpha, beta are two values lying between 0 and 2pi for which tan t...

    Text Solution

    |

  4. sin theta = x + 1/x is possible for some real values of x.

    Text Solution

    |

  5. Is (sec x + tan x + 1)(sec x - tan x - 1) - 2tan x = 0 an identity.

    Text Solution

    |

  6. The maximum value of 5cos theta + 12 sin theta is 17. This statement ...

    Text Solution

    |

  7. If x = rsin theta*cos phi, y = rsin theta*sin phi and z = rcos theta ...

    Text Solution

    |

  8. The minimum value of 3 cos x+4 sin x+8 is:

    Text Solution

    |

  9. tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...

    Text Solution

    |

  10. If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan...

    Text Solution

    |

  11. sin 1^circ lt sin 1. Given statement is true or false.

    Text Solution

    |

  12. If sin alpha = -3/5,pi lt alpha lt 3pi/2 then cos alpha/2 = 1/sqrt10

    Text Solution

    |

  13. If (1)/(x + y) = (1)/(2) and (1)/(x -y) = (1)/(3), then x = and y =

    Text Solution

    |

  14. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  15. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  16. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  17. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  18. If un = 2cos n theta then u1un - u(n-1) is equal to

    Text Solution

    |

  19. If xcostheta=ycos(theta+(2pi)/(3))=zcos(theta+(4pi)/(3)), then (1)/(x)...

    Text Solution

    |

  20. If cos alpha + cos beta + cos gamma = 0 then cos 3alpha + cos 3beta + ...

    Text Solution

    |