Home
Class 11
MATHS
The values of Sin^(-1)(cos{Cos^(-1)(cosx...

The values of `Sin^(-1)(cos{Cos^(-1)(cosx)+Sin^(-1)(sinx)})" where "x in (pi/2, pi)` is

A

`pi/2`

B

`-pi`

C

`pi`

D

`-pi/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I DOMAIN, RANGE, PRINCIPAL VALUES, BASIC PROPERTIES) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|7 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I DOMAIN, RANGE, PRINCIPAL VALUES, BASIC PROPERTIES) (MATRIX MATCHING TYPE QUESTIONS)|1 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

The value of Sin^(-1)(Cos((33pi)/5)) is

The value of tan(sin^(-1)(cos(sin^(-1)x)))tan(cos^(-1)(sin(cos^(-1)x)))." where "x in (0, 1) is equal to

If the area enclosed by the curves f(x)=cos^(-1)(cosx) and g(x)=sin^(-1)(cosx)" in "x in [(9pi)/4, (15pi)/4] is api^(2)//b (where a and b are coprime), then the value of (a-b) is

If the area enclosed by the curves f(x)=cos^(-1)(cosx) and g(x)=sin^(-1)(cosx) in x in [(9pi)/4,(15pi)/4] is api^(2),//b (where a and b are coprime), then the value of (a-b) is

The value of (sinx+cosx)^(2)+cos^(2)((pi)/(4)+x) lies in

If Sin^(-1)x-Cos^(-1)x = (pi)/6 then find x.

If sin^(-1)x-cos^(-1)x=(pi)/6 then x=

If Sin^(-1)x+4Cos^(-1)x=pi , then x =