Home
Class 12
MATHS
tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""...

`tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15)` is equal to

A

`-sqrt(3)`

B

`(1)/sqrt(3)`

C

1

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|72 Videos

  • INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

  • LIMITS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

tan""(2pi)/(5)-tan""(pi)/(15)-sqrt(3)tan""(2pi)/(5)tan""(pi)/(15)=?

The value of (tan pi)/(18)*(tan(3 pi))/(18)+(tan(3 pi))/(18)*(tan(5 pi))/(18)+(tan(pi))/(18)*(tan(5 pi))/(18) is equal to (1)0(3)sqrt(3)(2)1(4)-1

The numerical value of tan((pi)/(3))+2tan((2 pi)/(3))+4tan((4 pi)/(3))+8tan((8 pi)/(3)) is equal to (A)-5sqrt(3)(B)-(5)/(sqrt(3))(C)5sqrt(3)(D)(5)/(sqrt(3))

tan""(pi)/(8)tan""(pi)/(12)tan""(3pi)/(8)tan""(5pi)/(12)-sin^(2)""(pi)/(6)=?

The value of ((tan pi)/(16)+(tan(3 pi))/(16)+(tan(5 pi))/(16)+(tan(7 pi))/(16))^(2) is equal to

tan((pi)/(10))+tan((3 pi)/(10))+tan((7 pi)/(10))+tan((9 pi)/(10))=

The value of the expression tan. (pi)/(7)+ 2 tan. (2pi)/(7)+ 4 tan . (4pi)/(7)+ 8 cot. (8pi)/(7) is equal to

tan^(-1)("tan"(7pi)/(5))

Consider the following : 1. tan((pi)/(6)) 2. tan((3pi)/(4)) 3. tan((5pi)/(4)) tan((2pi)/(3)) What is the correct order ?

The value of (cot(pi)/(32))-tan(pi)/(32)-2tan(pi)/(16)-4tan(pi)/(8) is

OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Chapter Test
  1. The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec...

    Text Solution

    |

  2. If a,b are positive quantitis and if a(1)=(a+b)/(2), b(1)=sqrt(a(1)b) ...

    Text Solution

    |

  3. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

    Text Solution

    |

  4. If a(1),a(2),a(3),….a(n) is a.p with common difference d then tan{tan...

    Text Solution

    |

  5. If x=sin(2tan^(- 1)2), y=sin(1/2tan^(- 1)(4/3)) , then -

    Text Solution

    |

  6. Which of the following angles is greater? theta1=sin^(-1)(4/5)+sin^(-...

    Text Solution

    |

  7. The value of cos[1/2 cos^(-1){cos(sin^(-1)((sqrt63)/(8)))}] is

    Text Solution

    |

  8. Solve tan^(-1)("x"+1)+tan^(-1)("x"-1)=tan^(-1)"\ "8/(31)

    Text Solution

    |

  9. If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)...

    Text Solution

    |

  10. The sum of the two angles cot^(-1) 3 and cosec^(-1) sqrt(5) is

    Text Solution

    |

  11. Show that: cos(2tan^(-1)1/7)=sin(4^(-1)1/3)

    Text Solution

    |

  12. Number of integral solutions of the equation 2 sin^-1sqrt(x^2-x +1 )+ ...

    Text Solution

    |

  13. cos{cos^(-1)(-1/7)+sin^(-1)(-1/7)} =

    Text Solution

    |

  14. If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal ...

    Text Solution

    |

  15. sin[1/2cos^(- 1)4/5]

    Text Solution

    |

  16. lf x >=0 and theta = sin^(-1)x + cos^(-1)x-tan^(-1) x, then

    Text Solution

    |

  17. If tan^(-1)a+tan^(-1)b+tan^(-1)c=pi then prove tjhat a+b+c=abc

    Text Solution

    |

  18. The value of cot(c o s e c^(- 1)5/3+tan^(- 1)(2/3))i s

    Text Solution

    |

  19. Prove the following : sin^(-1)4/5+2\ tan^(-1)1/3=pi/2

    Text Solution

    |

  20. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

    Text Solution

    |