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Draw the graph of y=tan^(-1)|x|....

Draw the graph of `y=tan^(-1)|x|`.

Text Solution

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`y=tan^(-1)(tanx)`
`rArr" "tan y = tan x`
`rArr" "y=npi+x, n in Z`
Now ` y in (-pi//2, pi//2)`, we have the following table for values of x and y.


From the above information we can plot the graph of `y=tan^(-1)(tan x)` as shown in the following figure.
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