Home
Class 12
MATHS
Find the value of the following: cot (ta...

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

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the value of each of the following: cot(tan^-1 a + cot^-1 a )

Find the values of the following : cot 33^@ 40’ .

Find the values of the following : cot 46^@ 26’ .

Find the values of the following : cot 131^@ 20’ .

Find the value of the following log_(cot30^@)tan45^@

Evaluate cot(tan^-1a +cot^-1a)

Evaluate the following tan^(-1) { cot (- 1/4)}

Find the principal values of the following: cot^-1(sqrt3)

Evaluate the following : sec( cot^(-1). 1)

Find the value of tan(sin^-1 frac{3}{5} + cot^-1 frac{3}{2}) .

PSEB-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise
  1. Write the following function in the simplest form : tan^-1 ((3a^2 x - ...

    Text Solution

    |

  2. Find the value of the following: tan^-1[2 cos(2sin^-1(1/2))]

    Text Solution

    |

  3. Find the value of the following: cot (tan^-1 a + cot^-1 a)

    Text Solution

    |

  4. Find the value of the following: tan1/2[sin^-1(2x/(1+x^2)) + cos^-1(1-...

    Text Solution

    |

  5. If sin(sin^–1(1/5) + cos^–1x) =1, then find the value of x.

    Text Solution

    |

  6. If tan^-1 ((x-1)/(x-2))+tan^-1((x+1)/(x+2))=pi/4, then find the value ...

    Text Solution

    |

  7. The value of sin^-1 (sin (2π/3)) is :

    Text Solution

    |

  8. The value of tan^-1 (tan (3π/4)) is :

    Text Solution

    |

  9. Find the value of tan(sin^-1 frac{3}{5} + cot^-1 frac{3}{2}).

    Text Solution

    |

  10. cos^-1 (cos frac{7pi}{6}) is equal to :

    Text Solution

    |

  11. sin (frac {pi}{3} - sin^-1 (-frac{1}{2})) is equal to:

    Text Solution

    |

  12. tan^-1 (sqrt3) -cot^-1 (-sqrt3) is equal to :

    Text Solution

    |

  13. cos^-1 (cos 13 pi/6) is :

    Text Solution

    |

  14. Find the value of the following: tan^-1(tan(7pi/6))

    Text Solution

    |

  15. Prove that : 2sin^-1 (3/5) = tan^-1 (24/7)

    Text Solution

    |

  16. Prove that : sin^-1 (8/17) + sin^-1(3/5) = tan^-1 (77/36)

    Text Solution

    |

  17. Prove that : cos^-1 (4/5) + cos^-1(12/13) = cos^-1 (33/65)

    Text Solution

    |

  18. Show that cos^-1 frac{12}{13} + sin^-1 frac {3}{5}= sin^-1 frac {56}{6...

    Text Solution

    |

  19. Prove that : sin^-1 (5/13) +cos^-1 (3/5) =tan^-1 (63/16)

    Text Solution

    |

  20. tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 fr...

    Text Solution

    |