求sinA+sin(120°+A)+sin(240°+A)的值

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求sinA+sin(120°+A)+sin(240°+A)的值

求sinA+sin(120°+A)+sin(240°+A)的值
求sinA+sin(120°+A)+sin(240°+A)的值

求sinA+sin(120°+A)+sin(240°+A)的值
sinA+sin(120°+A)+sin(240°+A)
=sinA+sin(180°-60°+A)+sin(180°+60°+A)
=sinA+sin(60°-A)-sin(60°+A)
=sinA+sin60°cosA-cos60°sinA-(sin60°cosA+cos60°sinA)
=sinA-2cos60°sinA
=sinA-sinA
=0

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