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Mathematics
Mathematics
Problem
The value of
tan
−
1
(
1
2
tan
2
A
)
+
tan
−
1
(
cot
A
)
+
tan
−
1
(
cot
3
A
)
for
\tan^{-1}\left(\frac{1}{2}\tan 2A\right) + \tan^{-1}(\cot A) + \tan^{-1}(\cot^3 A) \text{ for}
tan
−
1
(
2
1
tan
2
A
)
+
tan
−
1
(
cot
A
)
+
tan
−
1
(
cot
3
A
)
for
0
<
A
<
(
π
/
4
)
0 < A < (\pi/4)
0
<
A
<
(
π
/4
)
is a.
4
tan
−
1
(
1
)
4\tan^{-1}(1)
4
tan
−
1
(
1
)
b.
2
tan
−
1
(
2
)
2\tan^{-1}(2)
2
tan
−
1
(
2
)
c. 0 d. None of these
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