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Mathematics
Mathematics
Problem
If
x
<
0
x < 0
x
<
0
then value of
tan
−
1
(
x
)
+
tan
−
1
(
1
x
)
\tan^{-1}(x) + \tan^{-1}\left(\frac{1}{x}\right)
tan
−
1
(
x
)
+
tan
−
1
(
x
1
)
is equal to (a)
π
2
\frac{\pi}{2}
2
π
(b)
−
π
2
-\frac{\pi}{2}
−
2
π
(c) 0 (d)
−
π
-\pi
−
π
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