求三角函数一些公式,还有圆和椭圆的极坐标 方程如题 谢谢了
\u5728\u6781\u5750\u6807\u7cfb\u4e2d\u5982\u4f55\u8868\u793a\u5706\u65b9\u7a0b\u4e0e\u4e09\u89d2\u51fd\u6570\u65b9\u7a0b\uff1fx\uff1da+r*cos\u03b8
y\uff1db+r*sin\u03b8 (\u03b8\u4e3a\u53c2\u6570\uff09\u662f\u4ee5\uff08a,b)\u4e3a\u5706\u5fc3\uff0cr\u4e3a\u534a\u5f84\u7684\u5706\u7684\u53c2\u6570\u65b9\u7a0b\u3000\u3000\u5176\u5b9e\u4ee5\u4e09\u89d2\u51fd\u6570\u4e3a\u53c2\u6570\u8868\u793a\u5706\u7684\u65b9\u7a0b\u672c\u8d28\u4e3a\u4e09\u89d2\u6362\u5143\u5982x^2+y^2=R^2\u7684\u4e09\u89d2\u8868\u793a\u4e3a
x=Rsinx
y=Rcosx\u7528\u8fd9\u4e24\u4e2a\u65b9\u7a0b\u7ec4\u8868\u793a\u5176\u4e2d(x)\u4e3a\u53c2\u6570\u5176\u4ed6\u53ef\u4ee5\u8f6c\u5316\u6210\u8fd9\u79cd\u5f62\u5f0f
\u5b83\u7684\u5173\u952e\u662f\u5229\u7528sin^2x+COS^2X=1\u4f60\u53ef\u4ee5\u5c06x=Rsinx\u6d88\u53c2\u5f97\u5230x^2+y^2=R^2, y=Rcosx
\u5728\u5e73\u9762\u5185\u53d6\u4e00\u4e2a\u5b9a\u70b9O\uff0c\u53eb\u6781\u70b9\uff0c\u5f15\u4e00\u6761\u5c04\u7ebfOx\uff0c\u53eb\u505a\u6781\u8f74\uff0c\u518d\u9009\u5b9a\u4e00\u4e2a\u957f\u5ea6\u5355\u4f4d\u548c\u89d2\u5ea6\u7684\u6b63\u65b9\u5411\uff08\u901a\u5e38\u53d6\u9006\u65f6\u9488\u65b9\u5411\uff09\u3002
\u5bf9\u4e8e\u5e73\u9762\u5185\u4efb\u4f55\u4e00\u70b9M\uff0c\u7528\u03c1\u8868\u793a\u7ebf\u6bb5OM\u7684\u957f\u5ea6\uff0c\u03b8\u8868\u793a\u4eceOx\u5230OM\u7684\u89d2\u5ea6\uff0c\u03c1\u53eb\u505a\u70b9M\u7684\u6781\u5f84\uff0c\u03b8\u53eb\u505a\u70b9M\u7684\u6781\u89d2\uff0c\u6709\u5e8f\u6570\u5bf9 (\u03c1,\u03b8)\u5c31\u53eb\u70b9M\u7684\u6781\u5750\u6807\uff0c\u8fd9\u6837\u5efa\u7acb\u7684\u5750\u6807\u7cfb\u53eb\u505a\u6781\u5750\u6807\u7cfb\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\uff081\uff09\u6781\u5750\u6807\u7cfb\u5750\u6807\u8f6c\u6362\u4e3a\u5e73\u9762\u76f4\u89d2\u5750\u6807\u7cfb\uff08\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\uff09\u4e0b\u5750\u6807\uff1a\u6781\u5750\u6807\u7cfb\u4e2d\u7684\u4e24\u4e2a\u5750\u6807 \u03c1\u548c \u03b8\u53ef\u4ee5\u7531\u4e0b\u9762\u7684\u516c\u5f0f\u8f6c\u6362\u4e3a\u76f4\u89d2\u5750\u6807\u7cfb\u4e0b\u7684\u5750\u6807\u503c\uff1a
x=\u03c1cos\u03b8
y=\u03c1sin\u03b8
\uff082\uff09\u5e73\u9762\u76f4\u89d2\u5750\u6807\u7cfb\u5750\u6807\u8f6c\u6362\u4e3a\u6781\u5750\u6807\u7cfb\u4e0b\u5750\u6807\uff1a\u7531\u4e0a\u8ff0\u4e8c\u516c\u5f0f\uff0c\u53ef\u5f97\u5230\u4ece\u76f4\u89d2\u5750\u6807\u7cfb\u4e2dx\u548c y\u4e24\u5750\u6807\u5982\u4f55\u8ba1\u7b97\u51fa\u6781\u5750\u6807\u4e0b\u7684\u5750\u6807\uff1a
\u5728 x= 0\u7684\u60c5\u51b5\u4e0b\uff1a\u82e5 y\u4e3a\u6b63\u6570 \u03b8= 90\u00b0 (\u03c0/2 radians)\uff1b\u82e5 y\u4e3a\u8d1f\uff0c\u5219 \u03b8= 270\u00b0 (3\u03c0/2 radians).
希望采纳
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