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Mathematics
Mathematics
Problem
The number of real solutions of the equation
1
+
cos
2
x
=
2
sin
−
1
(
sin
x
)
\sqrt{1 + \cos 2x} = \sqrt{2}\,\sin^{-1}(\sin x)
1
+
cos
2
x
=
2
sin
−
1
(
sin
x
)
,
−
π
≤
x
≤
π
-\pi \le x \le \pi
−
π
≤
x
≤
π
, is
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