Home
Class 12
MATHS
Write the following function in the simp...

Write the following function in the simplest form :
`tan^(-1)((cosx-sinx)/(cosx+sinx)),(-pi)/4ltxlt(3pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/4-x`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 2.1|14 Videos

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

  • LINEAR PROGRAMMING

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|8 Videos

Similar Questions

Explore conceptually related problems

Write the following function in the simplest form : tan^(-1)(sqrt((1-cosx)/(1+cosx))),0ltxltpi

Find dy/dx , tan^(-1){(cosx - sinx)/(cosx + sinx)} .

If y=tan^(-1)""(cosx+sinx)/(cosx-sinx)," then find "(dy)/(dx).

Express "tan"^(-1)(cosx)/(1-sinx),(-3pi)/2ltxlt(pi)/2 in the simplest form.

Integrate the functions (2cosx-3sinx)/(6cosx+4sinx)

Find the ranges of the following functions : y = sinx + cosx

simplify cos^(-1) ((sinx+cosx)/sqrt2) , pi/4 < x < (5pi )/4

Find the value of lim_(x to pi/4) (4sqrt2-(cosx+sinx)^5)/(1-sin2x)

int_(0)^((pi)/(2))(cosx-sinx)/(1+sinxcosx)dx

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

NCERT BANGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 2.2
  1. Prove the following : 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x epsilon[1/2,1...

    Text Solution

    |

  2. Prove the following : "tan"^(-1)2/11+"tan"^(-1)7/24="tan"^(-1)1/2

    Text Solution

    |

  3. Prove the following : 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

    Text Solution

    |

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

    Text Solution

    |

  5. Write the following function in the simplest form : "tan"^(-1)1/(sqr...

    Text Solution

    |

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

    Text Solution

    |

  7. Write the following function in the simplest form : tan^(-1)((cosx-s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Find the values of each of the following : cot(tan^(-1)a+cot^(-1)a)

    Text Solution

    |

  12. Find the value of : "tan"1/2["sin"^(-1)(2x)/(1+x^(2))+"cos"^(-1)(1-...

    Text Solution

    |

  13. Find the values of each of the following : If sin ("sin"^(-1)1/5+"co...

    Text Solution

    |

  14. Find the values of each of the following : If "tan"^(-1)(x-1)/(x-2)+...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the value of : tan^(-1)("tan"(3pi)/4)

    Text Solution

    |

  17. Find the values of each of the expression following : tan("sin"^(-1...

    Text Solution

    |

  18. cos^(-1)("cos"(7pi)/6) is equal to

    Text Solution

    |

  19. sin((pi)/3-"sin"^(-1)(-1/2)) is equal to

    Text Solution

    |

  20. tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) is equal to

    Text Solution

    |