1.

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

Answer»

Solution :`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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