求证cosπ/5 + cos3π/5=1/2
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求证cosπ/5+cos3π/5=1/2求证cosπ/5+cos3π/5=1/2求证cosπ/5+cos3π/5=1/2cos36+cos108=cos(72-36)+cos(72+36)=cos72
求证cosπ/5 + cos3π/5=1/2
求证cosπ/5 + cos3π/5=1/2
求证cosπ/5 + cos3π/5=1/2
cos36+cos108
=cos(72-36)+cos(72+36)
=cos72*cos36+sin72*sin36+cos72*cos36-sin72*sin36
=2cos72*cos36
=2sin18*cos36
=sin36*cos36/cos18
=sin72/2*cos18
=cos18/2*cos18
=1/2
求证cosπ/5 + cos3π/5=1/2
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