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Mathematics
Problem
Consider the function
g
(
x
)
=
sin
x
−
x
2
g(x)=\sin x-\dfrac{x}{2}
g
(
x
)
=
sin
x
−
2
x
on the interval
[
0
,
2
π
]
[0,2\pi]
[
0
,
2
π
]
. Which of the following is the approximate value of the absolute minimum of
g
g
g
on this interval, correct to three decimal places? a)
−
2.618
-2.618
−
2.618
b)
−
3.484
-3.484
−
3.484
c)
−
3.142
-3.142
−
3.142
d)
−
1.571
-1.571
−
1.571
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