sin18°cos36°

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sin18°cos36°sin18°cos36°sin18°cos36°sin18*cos36=sin18*cos36*sin72/sin72=sin18*cos36*sin72/sin72=sin1

sin18°cos36°
sin18°cos36°

sin18°cos36°
sin18*cos36=sin18*cos36*sin72/sin72
=sin18*cos36*sin72/sin72
=sin18*cos36*cos18/sin72
=(sin18*cos18)*cos36/sin72
=(1/2sin36)*cos36/sin72
=1/4sin72/sin72
=1/4

cos是余弦,表示直角三角形直角边与斜边的比值
然后推广到大于90度和小于0度的余弦

cos36*sin18
=(1/cos18)*sin18*cos18*cos36
=(1/2cos18)*sin36*cos36
=(1/4cos18)*sin72
=1/4