sin,cos,tan如何计算,在不同数值时该怎么计算

\u5728\u6570\u5b66\u91cc\uff0csin\u3001cos\u3001tan\u8fd9\u4e9b\u89d2\u7684\u53e0\u52a0\u89d2\u662f\u600e\u4e48\u7b97\u7684\uff1f\u4f8b\u5982sin105\u00b0\u662f\u591a\u5c11\uff1fcos105\u00b0

sin105\u00b0
=sin(45\u00b0+60\u00b0)
=sin45\u00b0cos60\u00b0+cos45\u00b0sin60\u00b0
=\u221a2/2 \u00d71/2 +\u221a2/2 \u00d7\u221a3/2
=(\u221a2+\u221a6)/4
\u540c\u7406
\u53ef\u4ee5\u7b97cos105\u00b0=cos(45\u00b0+60\u00b0)
=cos45\u00b0cos60\u00b0-sin45\u00b0sin60\u00b0
=\u221a2/2 \u00d71/2 -\u221a2/2 \u00d7\u221a3/2
=(\u221a2-\u221a6)/4

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\u770b\u5c4f\u5e55\u4e0a\u663e\u793a\u7684\u5b57\u6bcd\u662f\u4e0d\u662fDEG\uff0cDEG\u8868\u793a\u89d2\u5ea6\u5236\uff0c\u5f53\u4f60\u8f93\u516545\u65f6\uff0c\u5b83\u5c31\u6309\u716745\u5ea6\u8fdb\u884c\u8ba1\u7b97\u3002\u5982\u679c\u5c4f\u5e55\u4e0a\u663e\u793a\u7684\u5b57\u6bcd\u662fRAD\uff0c\u5219\u4f1a\u630945\u5f27\u5ea6\u8ba1\u7b97\uff0c\u5982\u679c\u5c4f\u5e55\u4e0a\u663e\u793a\u7684\u662fGRAD\uff0c\u4f1a\u6309\u68af\u5ea6\u8ba1\u7b97\u3002\u6709\u4e00\u4e2a"DEG\u7bad\u5934"\u7684\u952e\u662f\u8c03\u8fd9\u7684\u3002
\u9009\u597d\u540e\uff0c\u5148\u8f93\u5165\u9700\u8981\u8ba1\u7b97\u7684\u89d2\u5ea6\uff0c\u598245\uff0c\u7136\u540e\u60f3\u8981\u8ba1\u7b97\u6b63\u5f26\u7684\u503c\uff0c\u5c31\u76f4\u63a5\u6309sin\u5c31\u53ef\u4ee5\u4e86\u3002\u7b97\u4f59\u5f26\u7684\u503c\uff0c\u76f4\u63a5\u6309cos,\u6b63\u5207\u4e5f\u662f\u4e00\u6837\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002\u4f59\u5207\u662f\u6b63\u5207\u7684\u5012\u6570\uff0c\u6ca1\u6709\u76f4\u63a5\u6309\u952e\u3002\u5148\u6c42\u6b63\u5207\uff0c\u518d\u53d6\u5012\u6570\u5c31\u662f\u4f59\u5207\u3002 \u5982\u679c\u662f\u65b0\u5f0f\u53cc\u884c\u7684\u8ba1\u7b97\u5668\uff0c\u9700\u8981\u5148\u6309\u4e09\u89d2\u51fd\u6570\u540d\u79f0\uff0c\u518d\u6309\u89d2\u5ea6\uff0c\u6700\u540e\u6309\u7b49\u53f7\u5c31\u53ef\u4ee5\u4e86\u3002

\u6269\u5c55\u8d44\u6599\uff1a
\u7528\u8ba1\u7b97\u5668\u6c42\u53cd\u4e09\u89d2\u51fd\u6570\u7684\u4f7f\u7528\u65b9\u6cd5\uff1a
\u5148\u628a\u5c4f\u5e55\u4e0a\u7684\u5b57\u5e55\u663e\u793a\u8c03\u6210DEG\u3002 \u8001\u5f0f\u8ba1\u7b97\u5668\uff1a\u5148\u8f93\u51650.5\uff0c\u518d\u63092ndf\uff0c\u518d\u6309sin\uff0c\u5f97\u5230\u662fsin\u503c\u4e3a0.5\u7684\u89d2\u5ea6\u503c\u3002\u8ba1\u7b97\u5668\u7b97\u51fa\u7684\u89d2\u5ea6\u90fd\u5728-90\u5ea6~90\u5ea6\u4e4b\u95f4\u3002
\u65b0\u7248\u7684\u8ba1\u7b97\u5668\u5148\u518d\u63092ndf\uff0c\uff08\u6709\u7684\u8ba1\u7b97\u5668\u662fshift\uff09\u518d\u6309sin\uff0c\u4e0a\u884c\u663e\u793asin-1\uff0c\uff08-1\u662f\u4e0a\u6807\uff09\uff0c\u7136\u540e\u518d\u63090.5\uff0c\u518d\u6309=\u5c31\u53ef\u4ee5\u7b97\u51fa\u53cd\u4e09\u89d2\u51fd\u6570\u7684\u503c\u4e86\u3002

前提:在直角三角形ABC中,∠ACB=90°
sin∠A=BC/AB(对边比斜边)
cos∠A=AC/AB(邻边比斜边)

tan∠A=BC/AC(对边比邻边)

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