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Mathematics
Mathematics
Problem
Which of the following identities correctly rewrites
sin
A
+
sin
B
\sin A + \sin B
sin
A
+
sin
B
as a product? a)
2
sin
A
−
B
2
cos
A
+
B
2
2\sin\dfrac{A-B}{2}\cos\dfrac{A+B}{2}
2
sin
2
A
−
B
cos
2
A
+
B
b)
2
sin
A
+
B
2
cos
A
−
B
2
2\sin\dfrac{A+B}{2}\cos\dfrac{A-B}{2}
2
sin
2
A
+
B
cos
2
A
−
B
c)
2
cos
A
+
B
2
cos
A
−
B
2
2\cos\dfrac{A+B}{2}\cos\dfrac{A-B}{2}
2
cos
2
A
+
B
cos
2
A
−
B
d)
sin
A
+
B
2
cos
A
−
B
2
\sin\dfrac{A+B}{2}\cos\dfrac{A-B}{2}
sin
2
A
+
B
cos
2
A
−
B
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