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Let a=cos^(-1)cos20,b=cos^(-1)cos30,c=si...

Let `a=cos^(-1)cos20,b=cos^(-1)cos30,c=sin^(-1)sin(a+b)` then
The largest integer x for which `sin^(-1)(sinx)ge|x-(a+b+c)|` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Let a=cos^(-1)cos20, b=cos^(-1)cos30, c=sin^(-1)sin(a+b) then If 5sec^(-1)x+10sin^(-1)y=10(a+b+c) then the value of tan^(-1)x+cos^(-1)(y-1) is

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  • If sin^(-1)(cos^(-1)x)lt1 and cos^(-1)(cos^(-1)x)lt1 then x in

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    `(Sin1, Sin (sin1))`
    B
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  • The values of Sin^(-1)(cos{Cos^(-1)(cosx)+Sin^(-1)(sinx)})" where "x in (pi/2, pi) is

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