Home
Class 11
MATHS
Number of integral solutions of the equa...

Number of integral solutions of the equation `sin^(-1)(sinx)=cos^(-1)(cosx)" in "[0, 5pi]` is

A

2

B

3

C

4

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (MATRIX MATCHING TYPE QUESTIONS)|1 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|23 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation sin^(-1)x+sin^(-1)2x=pi/3 is

The number of real solutions of the equation (cosx)^(5)+(sinx)^(3)=1 in the interval [0,2pi] is

Knowledge Check

  • Number of solutions of the equation cos^(-1)(1-x)-2cos^(-1)x=pi/2 is

    A
    3
    B
    2
    C
    1
    D
    0
  • Number of solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-2cosx is (0,pi) is

    A
    1
    B
    3
    C
    2
    D
    4
  • The number of solutions of the equations 2(sin^(-1)x)^(2)-5sin^(-1)x+2=0 is

    A
    0
    B
    1
    C
    2
    D
    3
  • Similar Questions

    Explore conceptually related problems

    The number of solutions of the equation 2x=3pi(1-cosx) is

    Number of solutions of the equation sin x= sin 2x + sin 3x = 2 cos^2 x-2 cos x in (0, pi) is

    Number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)Sin^(-1)(sinx)" where "-pi le x le pi

    The solution set of the equation (2cosx-1)(3+2cosx)=0" in "0lexle2pi is

    The number of solutions of the equation 4e^(sinx)-3e^(-sinx)+4=0 in [0,2pi] is