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Mathematics
Mathematics
Problem
Which of the following expressions is equal to
2
cos
α
sin
β
2\cos\alpha\sin\beta
2
cos
α
sin
β
? a)
sin
(
α
+
β
)
+
sin
(
α
−
β
)
\sin(\alpha+\beta)+\sin(\alpha-\beta)
sin
(
α
+
β
)
+
sin
(
α
−
β
)
b)
sin
(
α
+
β
)
−
sin
(
α
−
β
)
2
\displaystyle\frac{\sin(\alpha+\beta)-\sin(\alpha-\beta)}{2}
2
sin
(
α
+
β
)
−
sin
(
α
−
β
)
c)
sin
(
α
+
β
)
−
sin
(
α
−
β
)
\sin(\alpha+\beta)-\sin(\alpha-\beta)
sin
(
α
+
β
)
−
sin
(
α
−
β
)
d)
cos
(
α
+
β
)
+
cos
(
α
−
β
)
\cos(\alpha+\beta)+\cos(\alpha-\beta)
cos
(
α
+
β
)
+
cos
(
α
−
β
)
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