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cos(a+b)=cosa*cosb-sina*sinb的推导过程
2022-06-25 06:32:00 【JAVA道人】
推理1
依据余弦差角公式:
cos(a-b)=cosa * cosb+sina * sinb
则:
cos(a+b)=cos(a-(-b))=cosa * cos-b+sina * sin-b
因为
cos-b=cosb
sin-b = -sinb
所以最终
cos(a+b)=cosa * cosb-sina * sinb
推理2
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