Home
Class 11
MATHS
The equation of sin=[1+sinx]+[1-cosx} ha...

The equation of `sin=[1+sinx]+[1-cosx}` has (where [x] is the greatest integer less then or equal to x)

A

no solution `[(-pi)/(2) , (pi)/(2)]`

B

no solution in `[(pi)/(2), pi]`

C

no solution in `[ pi, (3 pi)/(2)]`

D

no solution for `x in R`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Find all the points of discontinuity of the greatest interger function defined by f(x)= [x] , where [x] denote the greatest integer less than or equal to x.

The function f(x)=(sec^(-1)x)/(sqrt(x-[x])) , where [x] denotes the greatest integer less or equal to x, is defined for all x in

Prove that the Greatest Integer Function f: R to R, given by f (x) =[x], is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

Show that the function defined by g(x) = x-[x] is a discontinuous at all integral points. Here [x] denotes the greatest integer less than or equal to x.

Let f(n)= [(1)/(3) + (3n)/(100)]n , where [n] denotes the greatest integer less than or equal to n. Then Sigma_(n=1)^(56) f(n) is equal to