Home
Class 12
MATHS
Find the set of possible values of (tan(...

Find the set of possible values of `(tan(x + pi/6))/tan x` where x is any real angle.

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

tan x=-tan(pi/6)

Find the set of values of x for which quad tan3x-tan2x1+tan3x tan2x

Find the number of roots of the equation tan(x+(pi)/(6))=2tan x, for x in(0,3 pi)

The set of values of x for which (tan3x-tan2x)/(1+tan3x tan2x)=1 is

Find the set of all real values of x satisfying the inequality sec^(-1)xgt tan^(-1)x .

Find the value of x where tan^(-1)3+cot^(-1)x=(pi)/(2)

The set of values of x for which ("tan" 3x- "tan" 2x)/(1+"tan" 3 x "tan" 2x) = 1 , is

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. Find the minimum value of 9tan^(2)theta + 4cot^(2)theta.

    Text Solution

    |

  2. Show that the maximum and minimum values of sqrt(a^(2)cos^(2)theta + ...

    Text Solution

    |

  3. Find the set of possible values of (tan(x + pi/6))/tan x where x is an...

    Text Solution

    |

  4. Prove that for real x, (tan(x+alpha))/(tan(x-alpha)) where alpha ne pi...

    Text Solution

    |

  5. Show that (sec^(2)theta - tan theta)/(sec^(2)+ tan theta) lies betwe...

    Text Solution

    |

  6. Prove that tan alpha + 2tan 2alpha + 4tan 4alpha + 8cot 8alpha = cot ...

    Text Solution

    |

  7. Find the sum: tan x + 1/2 tan x/2+ 1/2^(2) tan x/2^(2) +.....+1/2^(n-...

    Text Solution

    |

  8. Prove that cosec 2alpha = cot alpha - cot 2alpha. Hence or otherwise ...

    Text Solution

    |

  9. Prove that sum(r=1)^(10) = sin^(2) rpi/18 =5.

    Text Solution

    |

  10. Sum the series: sin alpha - sin 2alpha + sin 3alpha - sin 4alpha + .....

    Text Solution

    |

  11. Find sum(r=1)^(10) cos^(3) rpi/3.

    Text Solution

    |

  12. Sum: sqrt(1 + sin 2alpha) + sqrt(1 + sin 4alpha) + sqrt(1 + sin 6alpha...

    Text Solution

    |

  13. Prove that sin^(2) 12^circ + sin^(2)21^circ + sin^(2)39^circ + sin^(2)...

    Text Solution

    |

  14. If A + B + C = pi, prove that cos A cosec B cosec C + cos B cosec C c...

    Text Solution

    |

  15. Prove that in a triangle ABC, sin^(2)A - sin^(2)B + sin^(2)C = 2sin A...

    Text Solution

    |

  16. Prove that in a triangle ABC, sum (cot B+ cotC)/(tan B + tan C) =1.

    Text Solution

    |

  17. If A +B+C = 180^circ, prove that cos A/2+ cos B/2 +cos C/2 = 4cos (p...

    Text Solution

    |

  18. If alpha + beta- gamma= pi, prove that sin^(2)alpha + sin^(2)beta - s...

    Text Solution

    |

  19. If alpha + beta + gamma = 2 theta, prove that cos theta + cos(theta- ...

    Text Solution

    |

  20. If A + B + C = pi, show that cot A + sinA/(sin B sin C) = cot B + sin...

    Text Solution

    |