Home
Class 11
MATHS
Let f:[0,4pi] to [0, pi] be defined by f...

Let `f:[0,4pi] to [0, pi]` be defined by `f(x)=cos^(-1)(cosx)`. The number of points `x in [0,4pi]` satisfying the equation `f(x)=(10-x)/10` is

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL - I STRAIGHT OBJECTIVE TYPE QUESTIONS)|39 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL - I MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (LINKED COMPREHENSION TYPE QUESTIONS)|3 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

If f: R to [0, infty) defined by f(x) = 10^(x) then f^(-1)(x) =

Let f(x)=e^(cos^(-1)sin(x+pi//3)) then

The number of stationary points of f(x) = cosx in [0,2pi] are

Let f:[-100pi, 1000pi] to [-1,1] be defined by f(theta)=sin^(2)theta . Then the number of values of theta in [-100pi, 1000pi] for which f(theta)=0 is

If f(x)=Cos^(2)x+Cos^(2)2x+Cos^(2)3x then the number of x epsilon[0,2pi] for which f(x)=1 is

Let f(x)=max{tanx, cotx}. Then the number of roots of the equation f(x)=1/(sqrt(3)) in (0,2pi) is