Home
Class 11
MATHS
The least and the greatest values of (si...

The least and the greatest values of `(sin^(-1)x)^(3)+(cos^(-1)x)^(3)` are

A

`(-pi)/2,(pi)/2`

B

`(-pi^(3))/8,(pi^(3))/8`

C

`(pi^(3))/32,(7pi^(3))/8`

D

`(pi^(3))/16,(7pi^(3))/16`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|7 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

The least value of (sin^(-1)x)^3+(cos^(-1)x)^3 is

The greatest and least values of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) are respectively

The least value of (1+sec^(-1)x)(1+cos^(-1)x) is

The least and the greatest values of f(x)=x^(2)logx in [1,e] are

The greatest value of sin^(3)x+cos^(3)x in [0,(pi)/(2)] is

Find the greatest and least value of (sin x)^((sin x)) .

The greatest value of f(x)=(x+1)^(1//3) on [0,1] is