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Problems
lim
x
→
0
[
sin
(
x
+
a
)
+
sin
(
a
−
x
)
−
2
sin
a
x
sin
x
]
=
\lim_{x \rightarrow 0} \left[ \frac{\sin(x+a) + \sin(a-x) - 2\sin a}{x \sin x} \right] =
lim
x
→
0
[
x
s
i
n
x
s
i
n
(
x
+
a
)
+
s
i
n
(
a
−
x
)
−
2
s
i
n
a
]
=
…
Mathematics
Problem
lim
x
→
0
[
sin
(
x
+
a
)
+
sin
(
a
−
x
)
−
2
sin
a
x
sin
x
]
=
\lim_{x \rightarrow 0} \left[ \frac{\sin(x+a) + \sin(a-x) - 2\sin a}{x \sin x} \right] =
lim
x
→
0
[
x
s
i
n
x
s
i
n
(
x
+
a
)
+
s
i
n
(
a
−
x
)
−
2
s
i
n
a
]
=
(a)
sin
a
\sin a
sin
a
(b)
cos
a
\cos a
cos
a
(c)
−
sin
a
-\sin a
−
sin
a
(d)
1
2
cos
a
\frac{1}{2} \cos a
2
1
cos
a
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