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Mathematics
Problem
A value of x for which
sin
(
cot
−
1
(
1
+
x
)
)
=
cos
(
tan
−
1
x
)
\sin(\cot^{-1}(1+x)) = \cos(\tan^{-1}x)
sin
(
cot
−
1
(
1
+
x
))
=
cos
(
tan
−
1
x
)
, is : [JEE-MAIN ONLINE-2013] (1)
1
2
\frac{1}{2}
2
1
(2) 0 (3) 1 (4)
−
1
2
-\frac{1}{2}
−
2
1
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