Home
Class 12
MATHS
Let f:R->[-1, 1] be defined as f(x) = co...

Let `f:R->[-1, 1]` be defined as `f(x) = cos(sin x),` then which of the following is(are) correct ?

A

f is periodic with fundamental period `2pi`

B

Range of `f =[cos 1,1]`

C

`lim_(xto (pi)/(2))(f ((pi)/(2) -x) +f ((pi)/(2)+x)=2`

D

f is neither even nor odd function

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|11 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|2 Videos

  • LIMIT

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

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

Let f:R rarr[-1,1] be defined as f(x)=cos(sin x), then which of the following is(are) correct?

If f:R rarr R be defined as f(x)=sin(|x|) then which one of the following is correct?

Let f:Rrarr R be defined as f(x)=sin(|x|) Which one of the following is correct?

Let f:RtoR be defined as f(x)=sin(|x|) Which one of the following is correct?

Let f(x)=sin^(-1)x and g(x)=cos^(-1)x , then which of the following statements are correct?

Let f:R rarr R defined by f(x)=min(|x|,1-|x|), then which of the following hold (s) good?

Let f:RrarrR be a function defined by f(x)=min {x+1,|x|+1} , then which of the following is true?

Let f: R to R be a function defined by f(x)="min" {x+1,|x|+1}. Then, which of the following is true?