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Find the values of x in [0,2pi] for whic...

Find the values of `x in [0,2pi]` for which function `f(x) = tan^(-1) (tan x) and g(x) = cos^(-1) (cos x)` are identical

Text Solution

Verified by Experts

The correct Answer is:
`[0, pi//2) uu {2pi]`
Let us draw the graph of both th efunction for `x in [0, 2pi]`

In the above figure, graph of `y = f (x) and y = g (x)` coincide for `x in [0,pi//2) uu {2pi}`
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