Home
Class 12
MATHS
Write the following functions in the sim...

Write the following functions in the simplest form :
`tan^(-1)((cos x -sin x)/(cos x + sin x)), -pi/4 lt x lt (3pi)/4`

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|396 Videos
  • LINEAR PROGRAMMING

    V PUBLICATION|Exercise QUESTION BANK|39 Videos

Similar Questions

Explore conceptually related problems

Write the following functions in the simplest form : tan^(-1) sqrt((1-cos x)/(1+cos x)), 0 lt x lt pi

Write the following functions in the simplest form : tan^(-1)((sqrt(1+x^2)-1)/x), x ne 0

Write the following functions in the simplest form : tan^(-1) (x/sqrt(a^2-x^2)), |x| lt a

Integrate the following functions: sin 3x cos4x

Simplify tan ^(-1)[(a cos x-b sin x)/(b cos x+a sin x)] if, a/b tan xgt(-1)

If y= tan ^(-1) ((a cos x- b sin x )/(b cos x + a sin x ) ) , then (dy)/(dx) is :

lntégrate the following functions with respect to x (sin ^3x+cos ^3x)/(sin ^2 x cos ^2 x) dx

Integrate the following functions (x^3 sin(tan^-1 x^4))/(1+x^8)

Integrate the function (2 cos x-3 sin x)/(6 cos x+4 sin x)

Integrate the following functions: (sin^3x + cos^3x)/(sin^2x cos^2x)

V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Write the following functions in the simplest form : tan^(-1)(1/sqrt...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Find the values of each of the following tan ^(-1)[2 cos (2 sin ^(-1) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. cos ^(-1)(cos ((7 pi)/6)) is equal to A)(7 pi)/6 B)(5 pi)/6 C)pi/3 D)p...

    Text Solution

    |

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

    Text Solution

    |

  16. tan ^(-1) sqrt3-cot ^(-1)(-sqrt3) is equal to A)pi B)(-pi)/2 C)0 D)2 s...

    Text Solution

    |

  17. Find the value of sin ^(-1)(sin ((3 pi)/5))

    Text Solution

    |

  18. show that sin^-1frac(3)(5)-sin^-1frac(8)(17)=cos^-1frac(84)(85)

    Text Solution

    |

  19. Prove that sin^-1frac12(13)+cos^-1frac4(5)+tan^-1frac63(16)=pi

    Text Solution

    |

  20. Simplify tan ^(-1)[(a cos x-b sin x)/(b cos x+a sin x)] if, a/b tan xg...

    Text Solution

    |