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Mathematics
Mathematics
Problem
Show that the function
y
=
2
tan
−
1
x
+
sin
−
1
2
x
1
+
x
2
y = 2\tan^{-1} x + \sin^{-1} \frac{2x}{1+x^2}
y
=
2
tan
−
1
x
+
sin
−
1
1
+
x
2
2
x
is a constant for
x
≥
1
x \ge 1
x
≥
1
.
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