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Derivation of COS (a+b) =cosa*cosb-sina*sinb
2022-06-25 06:37:00 【Java Taoist】
Reasoning 1
According to cosine difference angle formula ：
cos(a-b)=cosa * cosb+sina * sinb
be ：
cos(a+b)=cos(a-(-b))=cosa * cos-b+sina * sin-b
because
cos-b=cosb
sin-b = -sinb
So the final
cos(a+b)=cosa * cosb-sina * sinb
Reasoning 2
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