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Problem
Problem
Show that the equation,
sin
x
=
[
1
+
sin
x
]
+
[
1
−
cos
x
]
\sin x = [1 + \sin x] + [1 - \cos x]
sin
x
=
[
1
+
sin
x
]
+
[
1
−
cos
x
]
has no solution for
x
∈
R
x \in R
x
∈
R
. (where
[
.
]
[\,.\,]
[
.
]
represents greatest integers function).
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