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Draw the graph of y=f(x)=sqrt(1-cosx)...

Draw the graph of `y=f(x)=sqrt(1-cosx)`

Text Solution

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We have `y=f(x)=sqrt(1-cosx)`
`=sqrt(2sin^(2))(x)/(2)`
`=sqrt2|sin(x)/(2)|`
Now the period of `y=sin""(x)/(2)` is `4pi`, the graph of which is as shown in the following figure.

Therefore, the graph of `y=|sin""(x)/(2)|` is as follows.
The graph of `y=sqrt2|sin""(x)/(2)|` can be obtained by stretching the above graph `sqrt2` times vertically.
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