Home
Class 12
MATHS
If 2sin^(-1)x+{cos^(-1)x} gt (pi)/(2)+{...

If `2sin^(-1)x+{cos^(-1)x} gt (pi)/(2)+{sin^(-1)x}`, then `x in `: (where `{*}` denotes fractional part function)

A

(cos 1, 1]

B

(sin 1, 1]

C

(sin 1, 1]

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|6 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|2 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

Similar Questions

Explore conceptually related problems

If f(x) ={x} + sin ax (where { } denotes the fractional part function) is periodic, then

If |sin^(-1)x|+|cos^(-1)x| = pi/2, then x in

Draw the graph of y =(1)/({x}) , where {*} denotes the fractional part function.

Range of the function f (x) =cot ^(-1){-x}+ sin ^(-1){x} + cos ^(-1) {x}, where {.} denotes fractional part function:

If cos^(-1)x gt sin^(-1) x , then

The value of lim_(xto0)sin^(-1){x} (where {.} denotes fractional part of x) is

undersetlim_(Xrarr2^(+)) {x}(sin(x-2))/((x-2)^(2))= (where {.} denotes the fractional part function)

The range of f(x) =sin(sin^(-1){x}) . where { ·} denotes the fractional part of x, is

The number of solutions of the equation cos ^(-1)((1-x ^(2) -2x)/((x+1) ^(2)))=pi (1- {x}, for x in[0,76] is equal to (where {.} denote fraction part function)

Let f (x)= {{:(((e ^(1/(x-2))-3))/((1)/(3 ^(x-2))+1), x gt 2), ((b sin{-x})/({-x}), x lt 2),(c, x=2):}, where {.} denotes fraction part function, is continuous at x=2, then b+c=