8sin八分之派cos八分之派 求值怎么算?求过程谢谢! 比较sin八分之五派,cos八分之五派,tan八分之五派的大...

cos\u516b\u5206\u4e4b\u6d3e\u7684\u5e73\u65b9\u7b49\u4e8e\u591a\u5c11

cos²(\u03c0/8)
=1/2*[2cos²(\u03c0/8)-1]+1/2
=1/2*cos(\u03c0/4)+1/2
=\u221a2/4+1/2

cos²(\u03c0/8)-sin²(\u03c0/8)
=cos(\u03c0/4)
=\u221a2/2

\u3010\u4e2d\u5b66\u751f\u6570\u7406\u5316\u3011\u56e2\u961f\u4e3a\u60a8\u89e3\u7b54\uff01\u795d\u60a8\u5b66\u4e60\u8fdb\u6b65
\u4e0d\u660e\u767d\u53ef\u4ee5\u8ffd\u95ee\uff01
\u6ee1\u610f\u8bf7\u70b9\u51fb\u4e0b\u9762\u7684\u3010\u9009\u4e3a\u6ee1\u610f\u56de\u7b54\u3011\u6309\u94ae\uff0cO(\u2229_\u2229)O\u8c22\u8c22

180\u5ea6\u30098pai/5>90\u5ea6\uff0c\u6240\u4ee5sin\u30090\u6700\u5927
tan<0,cos<0,tan=cos/sin\uff0c0<sin<1\u6240\u4ee5cos\u3009tan

原式等于4*2*sin(π/8)*cos(π/8)=4*sin(π/4)=2根号2
希望能帮到你。。



4×(2×sin (派/8)×cos(派/8))=4sin (派/4)=2倍的根号下2

2sinacosa=sin2a
则原式=4sinπ/4=2√≠

原式=4sin(pi/4)=2根号2

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