Home
Class 12
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 `(-pi)/2,pi/2` (b) `(-pi^3)/8,(pi^3)/8` `(pi^3)/(32),(7pi^3)/8` (d) none of these

Text Solution

Verified by Experts

The correct Answer is:
`(7pi^(3))/8`
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

Principal value of sin^(-1)(-(1)/(2))+cos^(-1)(-(1)/(2)) is (a) (pi)/(2) (b) -(pi)/(2) (c) (3pi)/(2) (d)none of these

Find the principal values of the following (2-8): sin^-1 (sin(3pi)/5)

Find the value of following cos((pi)/(2)+sin^(-1)((1)/(3)))

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

Let f(x)=e^cos^ (( -1 )) {sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) (b) e^(13pi//18) (c) e^(-2pi//18) (d) none of these

Find the value of cos^2pi/(16)+cos^2(3pi)/(16)+cos^2(5pi)/(16)+cos^2(7pi)/(16)dot

The range of sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [.] denotes the greatest integer function, is (a) {pi/2,pi} (b) {pi} (c) {pi/2} (d) none of these

The set of all x in (−π/2,π/2) satisfying ∣4sinx−1∣< sqrt(5) ​ is given by (a)(-pi/(10),(3pi)/(10)) (b) (pi/(10),(3pi)/(10)) (c)(-pi/(2),(3pi)/(10)) (d) none of these