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Laylah Mora

Laylah Mora

Answered question

2022-05-25

If c i s ( α ) = a and c i s ( β ) = b, prove sin ( α β ) = b 2 a 2 2 a b i

Answer & Explanation

Ueberbachge

Ueberbachge

Beginner2022-05-26Added 7 answers

a = c i s ( α ) = e i α
b = c i s ( β ) = e i β
R H S = b 2 a 2 2 a b i = b i 2 a a i 2 b = 1 2 i ( e i ( β α ) e i ( α β ) ) = 1 2 i ( e i ( β α ) e i ( β α ) ) = 1 2 i ( 2 i sin ( β α ) ) = sin ( α β ) = L H S

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