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3 results for “product to sum”
Formulae (3)
Trigonometry
Advanced
Product: sin A cos B
sin
A
cos
B
=
1
2
[
sin
(
A
+
B
)
+
sin
(
A
−
B
)
]
\sin A\cos B = \tfrac{1}{2}[\sin(A+B) + \sin(A-B)]
sin
A
cos
B
=
2
1
[
sin
(
A
+
B
)
+
sin
(
A
−
B
)]
Product-to-sum identity.
Trigonometry
Advanced
Product: cos A cos B
cos
A
cos
B
=
1
2
[
cos
(
A
−
B
)
+
cos
(
A
+
B
)
]
\cos A\cos B = \tfrac{1}{2}[\cos(A-B) + \cos(A+B)]
cos
A
cos
B
=
2
1
[
cos
(
A
−
B
)
+
cos
(
A
+
B
)]
Product-to-sum identity.
Trigonometry
Advanced
Product: sin A sin B
sin
A
sin
B
=
1
2
[
cos
(
A
−
B
)
−
cos
(
A
+
B
)
]
\sin A\sin B = \tfrac{1}{2}[\cos(A-B) - \cos(A+B)]
sin
A
sin
B
=
2
1
[
cos
(
A
−
B
)
−
cos
(
A
+
B
)]
Product-to-sum identity.