Home
Class 12
MATHS
Find the value of cot(tan^(-1) a + cot...

Find the value of
`cot(tan^(-1) a + cot^(-1) a)`

Text Solution

Verified by Experts

`cot(tan^(-1) a + cot^(-1) a)= cot(pi/2) = 0`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|22 Videos

  • INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|291 Videos

  • LINEAR PROGRAMMING

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

Find the value of cot((-15pi)/4)

Find the value of 4 tan^(-1)""(1)/5 - tan^(-1)""(1)/70+tan^(-1)""1/99

Find the principal value of cot^(-1)(cot40)

Solve cot(tan^-1(x)+cot^-1(x))

Find the range of y = (cot^(-1)x)(cot^(-1)(-x)) .

Find the value of sin^(-1)(3/5)+tan^(-1)(1/7)

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

If ab gt -1, bc gt -1 and ca gt -1 , then the value of cot^(-1) ((ab+1)/(a-b) ) + cot^(-1) ((bc+1)/(b-c) ) + cot^(-1) ((ca+1)/( c-a)) is a) -1 b) cot^(-1) "" (a+b+c) c) cot^(-1) ("abc") d)0

Find the area bounded by y=tan^(-1)x,y=cot^(-1)x , and y-axis in the first quadrant.

Find the principal value of tan^(-1)(-sqrt3)

A N EXCEL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. prove that 3 cos^(-1) x = cos^(-1) (4x^3 - 3x), x in [1/2,1]

    Text Solution

    |

  2. Prove that tan^(-1)(2/11) + tan^(-1)(7/24) = tan^(-1)(1/2)

    Text Solution

    |

  3. Prove that 2 tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

    Text Solution

    |

  4. Write the following functions in the simplest form : tan^(-1)((sqrt(...

    Text Solution

    |

  5. Write the following functions in the simplest form : tan^(-1)(1/sqrt...

    Text Solution

    |

  6. Write the following functions in the simplest form : tan^(-1) sqrt((...

    Text Solution

    |

  7. Write the following functions in the simplest form : tan^(-1)((cos x...

    Text Solution

    |

  8. Write the following functions in the simplest form : tan^(-1) (x/sqr...

    Text Solution

    |

  9. Write the following functions in the simplest form : tan^(-1)((3a^2x...

    Text Solution

    |

  10. Find the value of tan^(-1)[2 cos(2sin^(-1)frac(1)(2) )]

    Text Solution

    |

  11. Find the value of cot(tan^(-1) a + cot^(-1) a)

    Text Solution

    |

  12. Find the values of the following tan frac(1)(2) [sin^(-1)((2x)/(1+x...

    Text Solution

    |

  13. If sin(sin^-1(frac(1)(5))+cos^-1(x))=1

    Text Solution

    |

  14. If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4. then find t...

    Text Solution

    |

  15. Find the value of sin^(-1)sin((2pi)/3)

    Text Solution

    |

  16. Find the values of the following : tan^(-1)(tan frac (3pi)4)

    Text Solution

    |

  17. Evaluate tan(sin^-1frac(3)(5)+cot^-1frac(3)(2))

    Text Solution

    |

  18. find the value of cos^-1cos((7pi)/3)

    Text Solution

    |

  19. Find sin(pi/3-sin^(-1)(-1/2)) =

    Text Solution

    |

  20. Find tan^(-1) sqrt3 -sec^(-1)(-2)

    Text Solution

    |