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

Draw the graph of `y=cot^(-1)(cot x)`

Text Solution

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`y=cot^(-1)(cot x)`
`rArr" "cot y cot x`
`rArr" "tan y = tan x`
`rArr" "y=npi+x, n in Z`
Now `y in (0, pi)`, We have the following table for values of x and y.

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