Processing math: 100%
Theory of Horology
Theory of Horology
Section 5 Mathematical Formulas
5-1 Trigonometric Function
5-1-8 Product-of sum Formula
s
i
n
θ
±
s
i
n
ϕ
=
2
s
i
n
(
θ
±
ϕ
2
)
c
o
s
(
θ
∓
ϕ
2
)
c
o
s
θ
+
c
o
s
ϕ
=
2
c
o
s
(
θ
+
ϕ
2
)
c
o
s
(
θ
−
ϕ
2
)
c
o
s
θ
−
c
o
s
ϕ
=
−
2
s
i
n
(
θ
+
ϕ
2
)
s
i
n
(
θ
−
ϕ
2
)