Home
Class 12
MATHS
The function f(x)=tan^(-1)(sinx+cosx) is...

The function `f(x)=tan^(-1)(sinx+cosx)` is an increasing function in

A

`(pi/4,pi/2)`

B

`(-pi/2,pi/4)`

C

`(0,pi/2)`

D

`(-pi/2,pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=tan^(-1)(tan x) is

f(x) = e^(sinx+cosx) is an increasing function in

The function f(x)=sin^(-1)(sinx) , is

The function f(x)=sin^(-1)(cosx) is

The function f(x)=tan^(-1)x-In(1+x^(2)) is increasing for

f(x)=tan^(-1)(sinx+cosx), x gt0 is always and increasing function on the interval

f(x)=tan^(-1)(sinx+cosx),"then "f(x) is increasing in

Show that the function f(x) = x + cosx - a is an increasing function and hence deduce that the equation x+cosx = a has no positive root for a lt 1

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-EVALUATION TEST
  1. If 27a+9b+3c+d=0 then the equation 4ax^(3)-3bx^(2)+2cx+0 has at leat ...

    Text Solution

    |

  2. If the curve y=x^(2)+bx +c touches the line y = x at the point (1,1),...

    Text Solution

    |

  3. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  4. The greatest value of the function f(x)=tan^(- 1)x-1/2logx in [1/(sqrt...

    Text Solution

    |

  5. IF alpha+beta=pi/2, then cosalpha cos beta has a maximum value at beta...

    Text Solution

    |

  6. Prove that the segment of the tangent to the hyperbola y = (c )/(x) w...

    Text Solution

    |

  7. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  8. The maximum value of f(x)=sinx(1+cosx) is

    Text Solution

    |

  9. The minimum value of f(x)=sin^4x+cos^4x,0lexlepi/2 is

    Text Solution

    |

  10. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

    Text Solution

    |

  11. If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then ...

    Text Solution

    |

  12. The minimum value of a^2sec^2x+b^2cosec^2x,0ltaltb,is

    Text Solution

    |

  13. The function y=(ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then fin...

    Text Solution

    |

  14. if 0ltalphaltbetaltpi/2 , then

    Text Solution

    |

  15. The two curves y=3^x and y=5^xintersect at an angle

    Text Solution

    |

  16. If alpha and beta (alpha lt beta) are two different real rootsof the e...

    Text Solution

    |

  17. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |

  18. If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum a...

    Text Solution

    |

  19. Verify Rolle's theorem for each of the following functions : f(x) = ...

    Text Solution

    |

  20. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |