求值 arctan根号3 arctan√3等于多少怎么算的呢
arctan\u6839\u53f73=\u4ec0\u4e48\uff1f\u600e\u4e48\u7b97\u7684arctan\uff08-\u221a3\uff09
\u2234tanx=-\u221a3\uff0c
x=2\u03c0du/3+k\u03c0\u222a5\u03c0/3+k\u03c0\u3002
\u5373x\u662f\u7b2c\u4e8c\uff0c\u7b2c\u56db\u8c61\u9650\u96c6\u5408\u7684\u89d2\u3002
arctan(-\u6839\u53f73\uff09
=\u03c0-arctan(\u6839\u53f73\uff09
=\u03c0-\u03c0/3
=2\u03c0/3
\u6269\u5c55\u8d44\u6599\uff1a
\u6b63\u5207\u51fd\u6570y=tanx\u5728\u5f00\u533a\u95f4\uff08x\u2208(-\u03c0/2,\u03c0/2)\uff09\u7684\u53cd\u51fd\u6570\uff0c\u8bb0\u4f5cy=arctanx \u6216 y=tan-1x\uff0c\u53eb\u505a\u53cd\u6b63\u5207\u51fd\u6570\u3002\u5b83\u8868\u793a(-\u03c0/2,\u03c0/2)\u4e0a\u6b63\u5207\u503c\u7b49\u4e8e x \u7684\u90a3\u4e2a\u552f\u4e00\u786e\u5b9a\u7684\u89d2\uff0c\u5373tan(arctan x)=x\uff0c\u53cd\u6b63\u5207\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3aR\u5373(-\u221e\uff0c+\u221e)\u3002\u53cd\u6b63\u5207\u51fd\u6570\u662f\u53cd\u4e09\u89d2\u51fd\u6570\u7684\u4e00\u79cd\u3002
\u516c\u5f0f\u5982\u4e0b\uff1aarctan A + arctan B=arctan\uff08A+B\uff09du/\uff081-AB\uff09
arctan A - arctan B=arctan\uff08A-B\uff09/\uff081+AB\uff09
\u53cd\u6b63\u5207\u51fd\u6570\u662f\u53cd\u4e09\u89d2\u51fddao\u6570\u4e2d\u7684\u53cd\u6b63\u5207\uff0c\u610f\u4e3a\uff1atan\uff08a\uff09=b\uff1b\u7b49\u4ef7\u4e8eArctan\uff08b\uff09=a\u3002
\u7b49\u4e8e\u03c0/3\uff0860\u00b0\uff09\u3002
\u6b63\u5207\u51fd\u6570y=tanx\u5728\u5f00\u533a\u95f4\uff08x\u2208(-\u03c0/2,\u03c0/2)\uff09\u7684\u53cd\u51fd\u6570\uff0c\u8bb0\u4f5cy=arctanx \u6216 y=tan-1x\uff0c\u53eb\u505a\u53cd\u6b63\u5207\u51fd\u6570\u3002
\u5b83\u8868\u793a(-\u03c0/2,\u03c0/2)\u4e0a\u6b63\u5207\u503c\u7b49\u4e8e x \u7684\u90a3\u4e2a\u552f\u4e00\u786e\u5b9a\u7684\u89d2\uff0c\u5373tan(arctan x)=x\uff0c\u53cd\u6b63\u5207\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3aR\u5373(-\u221e\uff0c+\u221e)\u3002\u53cd\u6b63\u5207\u51fd\u6570\u662f\u53cd\u4e09\u89d2\u51fd\u6570\u7684\u4e00\u79cd\u3002
\u7531\u6b64\u53ef\u5f97\uff1atan\u03c0/3=\u221a3\uff0c\u6240\u4ee5arctan\u221a3=\u03c0/3\u3002
\u6269\u5c55\u8d44\u6599
\u53cd\u4e09\u89d2\u51fd\u6570\u662f\u4e00\u79cd\u57fa\u672c\u521d\u7b49\u51fd\u6570\u3002\u5b83\u662f\u53cd\u6b63\u5f26arcsin x\uff0c\u53cd\u4f59\u5f26arccos x\uff0c\u53cd\u6b63\u5207arctan x\uff0c\u53cd\u4f59\u5207arccot x\uff0c\u53cd\u6b63\u5272arcsec x\uff0c\u53cd\u4f59\u5272arccsc x\u8fd9\u4e9b\u51fd\u6570\u7684\u7edf\u79f0\uff0c\u5404\u81ea\u8868\u793a\u5176\u53cd\u6b63\u5f26\u3001\u53cd\u4f59\u5f26\u3001\u53cd\u6b63\u5207\u3001\u53cd\u4f59\u5207 \uff0c\u53cd\u6b63\u5272\uff0c\u53cd\u4f59\u5272\u4e3ax\u7684\u89d2\u3002
\u5b83\u5e76\u4e0d\u80fd\u72ed\u4e49\u7684\u7406\u89e3\u4e3a\u4e09\u89d2\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff0c\u662f\u4e2a\u591a\u503c\u51fd\u6570\u3002\u4e09\u89d2\u51fd\u6570\u7684\u53cd\u51fd\u6570\u4e0d\u662f\u5355\u503c\u51fd\u6570\uff0c\u56e0\u4e3a\u5b83\u5e76\u4e0d\u6ee1\u8db3\u4e00\u4e2a\u81ea\u53d8\u91cf\u5bf9\u5e94\u4e00\u4e2a\u51fd\u6570\u503c\u7684\u8981\u6c42\uff0c\u5176\u56fe\u50cf\u4e0e\u5176\u539f\u51fd\u6570\u5173\u4e8e\u51fd\u6570 y=x \u5bf9\u79f0\u3002\u6b27\u62c9\u63d0\u51fa\u53cd\u4e09\u89d2\u51fd\u6570\u7684\u6982\u5ff5\uff0c\u5e76\u4e14\u9996\u5148\u4f7f\u7528\u4e86\u201carc+\u51fd\u6570\u540d\u201d\u7684\u5f62\u5f0f\u8868\u793a\u53cd\u4e09\u89d2\u51fd\u6570\u3002
1\u3001e^x-1\uff5ex (x\u21920)
2\u3001 e^(x^2)-1\uff5ex^2 (x\u21920)
3\u30011-cosx\uff5e1/2x^2 (x\u21920)
4\u30011-cos(x^2)\uff5e1/2x^4 (x\u21920)
5\u3001sinx~x (x\u21920)
6\u3001tanx~x (x\u21920)
7\u3001arcsinx~x (x\u21920)
8\u3001arctanx~x (x\u21920)
π/6 cacacacacaacac
tan(60度)=根号3
arctan根号3=60度
60度啊= =。。。。。。
60度
