Home
Class 12
MATHS
f(x)=sin^(-1){sqrt3/2x-1/2sqrt(1-x^(2))}...

`f(x)=sin^(-1){sqrt3/2x-1/2sqrt(1-x^(2))},-1/2lexle1` then f(x) = _____

A

`"sin"^(-1)1/2-"sin^(-1)x`

B

`sin^(-1)x-pi/6`

C

`sin^(-1)x+pi/6`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS -SHORT ANSWER TYPE QUESTIONS|11 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise NCERT EXAMPLAR PROBLEMS - LONG ANSWER TYPE QUESTIONS|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 2|17 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

Similar Questions

Explore conceptually related problems

(x+1) sqrt(2x^(2)+3)

f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)} then

Write the following functions in the simplest from : sin^(-1)(2xsqrt(1-x^(2))),-1/sqrt2lexle1/sqrt2

Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then (a)domain of f(x) is x ge 1 (b)domain of f(x) is [1,infty)-{2} ?(c)f'(10)=1(d)f'(3/2)=-1

f(x)=sin^(-1)((3-2x)/5)+sqrt(3-x) .Find the domain of f(x).

Show that, sin^(-1)(2xsqrt(1-x^(2)))=2cos^(-1)x,1/sqrt2lexle1

Show that, sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/sqrt2lexle1/sqrt2

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