1.

Find the values of a for whch sin^*(-1)x=|x-a| will have at least one solution.

Answer»

Solution :
(i) When `alt0`
In this CASE, y = a-x MUST pass through `(1,pi/2)`
`thereforepi/2=a-1rArra=1+pi/2`
(II) When `alt0`

In this case,
`y=x-a" must pass THOUGH "(1,pi/2)`
`pi/2=1-a`
`a=1-pi/2`
For at least on solution.
`1-pi/2leale1+pi/2`


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