Home
Class 12
MATHS
If [x] dnote the greatest integer less t...

If [x] dnote the greatest integer less than or equal to x then the equation ` sin x=[1+sin x ]+[1-cos x ][` has no solution in

A

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

B

`[(pi)/(2),pi]`

C

`[pi,(3pi)/(2)]`

D

R

Text Solution

Verified by Experts

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

Similar Questions

Explore conceptually related problems

If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the greatest integer less than or equal to x, then f'"("sqrt(pi//3)")" is equal to

Let f(x) = [ n + p sin x], x in (0,pi), n in Z , p a prime number and [x] = the greatest integer less than or equal to x. The number of points at which f(x) is not differentiable is :

The solution of the equation sin 2x + sin 4x = 2 sin 3x is

If [x] is the greatest integer less than or equal to x and (x) be the least integer greater than or equal to x and [x]^(2)+(x)^(2)gt25 then x belongs to

f(x)= 1/sqrt([x]+x) , where [*] denotes the greatest integeral function less than or equals to x. Then, find the domain of f(x).

If [x] denotes the greatest integer function then the extreme values of the function f(x)=[1+sinx]+[1+sin2x]+...+[1+sin nx], n in I^(+), x in (0,pi) are

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

For every real number find all the real solutions to equation sin x + cos(a+x)+ cos (a-x)=2

If [sin^-1x]+[cos^-1x]=0, where x is a non negative real number and [.] denotes the greatest integer function, then complete set of values of x is - (A) (cos1 ,1) (B) (-1, cos1) (C) (sin1 , 1) (D) (cos1 , sin1)

The equation (x)^(2)=[x]^(2)+2x where [x] and (x) are the integers just less than or equal to x and just greater than or equal to x respectively, then number of values of x satisfying the given equation