Home
Class 11
MATHS
The greatest and least values of (sin^(-...

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

A

`(pi^(2))/4` and 0

B

`(pi)/2` and `(-pi)/2`

C

`(5pi^(2))/4` and `(pi^(2))/8`

D

`(pi^(2))/4` and `(-pi^(2))/4`

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) SINGLE ANSWER TYPE QUESTIONS)|6 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|7 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 and the greatest values of (sin^(-1)x)^(3)+(cos^(-1)x)^(3) are

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

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

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

Maximum value of 1+ 8 sin^(2) x^(2) cos^(2) x^(2) is

The minimum value of 1+8sin^(2) x^(2) cos^(2)x^(2) is

Find the greatest and least values of (x+2)/(2x^(2)+3x+6) AA x in R

If the greatest and least values of the funciton f(x)=x^(3)-6x^(2)+9x+1 on [0,2] are lambdaandmu then lambda+mu^(6)=