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The function f:XtoY defined by f(x)=cosx...

The function `f:XtoY` defined by `f(x)=cosx` where `x""inX`, is one-one and onto if X and Y are respectively equal to

A

`[0,pi]and[-1,1]`

B

`[-(pi)/(2),(pi)/(2)]and[-1,1]`

C

`[0,pi]and(-1,1)`

D

`[0,pi]and[0,1]`

Text Solution

Verified by Experts

The correct Answer is:
A
Observe the cosx graph in the figure.

It is clear that, function is one-one and onto when x and y are `[o,pi]and[-1,1]`
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NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
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