The value of tan−1⁡(tan⁡(−6)),is

# The value of ${\mathrm{tan}}^{-1}\left(\mathrm{tan}\left(-6\right)\right)$,is

1. A

$2\mathrm{\pi }-6$

2. B

$2\mathrm{\pi }+6$

3. C

$6-2\mathrm{\pi }$

4. D

$3\mathrm{\pi }-6$

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### Solution:

We know that

Here, $\theta =-6$ radians which does not lie between

However $2\mathrm{\pi }-6$ lies between  such that

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