Home
Class 12
MATHS
The value of cot("cosec"^(-1)(5)/(3)+"ta...

The value of `cot("cosec"^(-1)(5)/(3)+"tan"^(-1)(2)/(3))` is :

A

`4/17`

B

`5/17`

C

`6/17`

D

`3/17`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|72 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

The value of cot^(-1)(-sqrt3)+cosec^(-1)(2)+tan^(-1)(sqrt3) is

Evaluate tan(cosec^(-1)(5/3)) .

Find the value of ("cosec"^(2)A-1)*tan^(2)A .

The value of cot^(-1)(-1)+cosec^(-1)(-sqrt(2))+sec^(-1)(2) is

The value of tan^(2) (sec^(-1)2)+ cot^(2) ("cosec"^(-1)3) is

Find the value of tan(sin^(-1)(3/5)+cot^(-1)(3/2))

Find the principal value of (a) cosec^(-1) (-1) (b) cot^(-1) (-(1)/(sqrt3))

The value of tan(tan^(-1)5+"cot"^(-1)(1)/(3)) is :

In Delta ABC , if angle B = sec^(-1)((5)/(4))+cosec^(-1) sqrt(5) , angle C = cosec^(-1)((25)/(7)) + cot^(-1)((9)/(13)) and c = 3 tan A , tan B, tan C are in

Find the value of : cosec[sec^(-1)(sqrt(2))+cot^(-1)(1)]

OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Chapter Test
  1. The value of (alpha^(3))/(2) cosec^(2) ((1)/(2) tan^(-1) ((alpha)/(bet...

    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 an A.P. with common difference d, th...

    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)+sin^(-1)1/3o...

    Text Solution

    |

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

    Text Solution

    |

  8. Solve for x: - 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. The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x ...

    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. Evaluate: sin(1/2cos^(-1)4/5)

    Text Solution

    |

  16. If xge0 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("cosec"^(-1)(5)/(3)+"tan"^(-1)(2)/(3)) is :

    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

    |