Home
Class 12
MATHS
Let f(x) = |sinx| + |cosx|, g(x) = cos(...

Let `f(x) = |sinx| + |cosx|, g(x) = cos(cosx) + cos(sinx) ,h(x)={-x/2}+sinpix` , where { } representsfractional function, then the period of

A

f(x) + g(x) is `pi`

B

f(x) - g(x) is `pi`

C

f(x) + g(x) + h(x) is `2pi`

D

f(x) + g(x) + h(x) is is non existent

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|17 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|17 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=|sin x|+|cos x|,g(x)=cos(cos x)+cos(sin x),h(x)={-(x)/(2)}+sin pi x, where {} representsfractional function,then the period of

int(cos2x)/(cosx-sinx)dx=

((sinx - x cosx)/(x sinx + cos x ))

(sin^(3)x)/(1 + cosx) + (cos^(3)x)/(1 - sinx) =

If f(x)= sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(x)) is (where [*] denotes greatest integer function)

The value of 3(sinx - cosx)^4 + 6(sinx + cosx)^2 + 4 (sin^6 x + cos^6 x) is

int(cos2x)/(sinx+cosx)dx=

Show that, sin3x + cos3x = (cosx-sinx)(1+4sinx cosx)

Fundamental period of the function f(x) = cos (sinx) + cos(cosx) is :

AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. Let a real valued function f satisfy f(x + y) = f(x)f(y)AA x, y in R a...

    Text Solution

    |

  2. Let f: R rarr R be a function defined as f(x)=[(x+1)^2]^(1/3)+[(x-1)^2...

    Text Solution

    |

  3. Let f(x) = |sinx| + |cosx|, g(x) = cos(cosx) + cos(sinx) ,h(x)={-x/2...

    Text Solution

    |

  4. Identify the incorrect statement

    Text Solution

    |

  5. Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation f...

    Text Solution

    |

  6. Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)...

    Text Solution

    |

  7. Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) +...

    Text Solution

    |

  8. "If "f:R to R, g:R and h:R to R be three functions are given by f(x)=x...

    Text Solution

    |

  9. Range ofthe function f(x)=cos(Ksin x) is [-1,1], then the least positi...

    Text Solution

    |

  10. Consider that the graph of y = f(x) is symmetrie about the lines x =...

    Text Solution

    |

  11. Let f(x) be defined in (0, 1), then the domain of definition of f(e^...

    Text Solution

    |

  12. If f(x) = 4^(x) - 2^(x + 1) + 5, then range of f(x) is

    Text Solution

    |

  13. Let g be a real valued function defined on the interval (-1, 1) such t...

    Text Solution

    |

  14. If f(x) is a real valued function defined as f(x) = In(1 - sin x) then...

    Text Solution

    |

  15. if f(x) is a real valued function defined as f(x)={min{|x|,1/x^2,1/x^3...

    Text Solution

    |

  16. Select the correct option

    Text Solution

    |

  17. Let f(x) = [x]^(2) + [x+1] - 3, where [.] denotes the greatest integer...

    Text Solution

    |

  18. If 2^(f(x)) = (2+x)/(2-x), x in (-2, 2) and f(x) = lambda f((8x)/(4+ x...

    Text Solution

    |

  19. If tan ax + cot ax and |tan x| + |cot x| are periodic functions of th...

    Text Solution

    |

  20. If {x} and [x] represent fractional and integral part of x, then [x]+...

    Text Solution

    |