Home
Class 12
MATHS
The range of the function f(x)=[sinx+cos...

The range of the function `f(x)=[sinx+cosx]` (where `[x]` denotes the greatest integer function) is

A

`[-2, 1]`

B

`{-2, -1, 0, 1}`

C

`{-1, 1}`

D

`{-2, -1, 1}`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A(FUNCTIONS)|140 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x) =[x]sin pi/[x+1] , where [] denote greatest integer function is:

The period of the function f(x) =[6x + 7] + cos pi x - 6x , where [.] denotes the greatest integer function, is

If the period of the function f(x)= sin (sqrt([n])x) where [n] denotes the greatest integer less than or equal to n is 2pi , then

int_(0)^(pi) [cot x] dx , where [*] denotes the greatest integer function, is equal to

The domain of the function f(x)=log_(x) cosx is

Range of the function f(x)=sqrt([x]-x) is