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Mathematics
Problem
The number of integer
x
x
x
satisfying
sin
−
1
∣
x
−
2
∣
+
cos
−
1
(
1
−
∣
3
−
x
∣
)
=
π
2
\sin^{-1} |x-2| + \cos^{-1} (1-|3-x|) = \frac{\pi}{2}
sin
−
1
∣
x
−
2∣
+
cos
−
1
(
1
−
∣3
−
x
∣
)
=
2
π
is a. 1 b. 2 c. 3 d. 4
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