Home
Class 12
MATHS
Let f(x) = sin (sin^-1 2x) + cosec (cose...

Let `f(x) = sin (sin^-1 2x) + cosec (cosec^-1 2x) + tan(tan^-1 2x)`, then which one of the following statements is/are incorrect ?
a. f(x) is odd function
b. f(x) is injective
c. Range of f (x) contains only two integers.
d. The value of `f' (1/2) ` is equal to 6.

A

f(x) is odd function

B

f(x) is injective

C

Range of f (x) contains only two integers.

D

The value of `f' (1/2) ` is equal to 6.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Examples|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x. cosec^(-1) x , then which of the following statement (s) hold(s) good?

Let function f(x) be defined as f(x) = |sin^(-1)x| + cos^(-1) (1/x) . Then which of the following is /are TRUE.

Let f (x) = x tan ^(-1) (x^(2)) then find the f'(x)

Range of the function f(x)=sin^(-1)x is equal to

If tan(x/2)=cosec x - sin x then the value of tan^2(x/2) is

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)

For x in R , the functions f(x) satisfies 2f(x)+f(1-x)=x^(2) . The value of f(4) is equal to

If tan(x/2)=cosec x-sin x , then find the value of tan^(2) (x/2) .

The range of the function f(x) = sec^(-1) ( x) + tan ^(-1) (x) ,is