with(plots);

Warning, the name changecoords has been redefined

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plot([1+cos(t),t,t=0..2*Pi], coords=polar);

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plot([2*cos(t),t, t=0..2*Pi], coords=polar):polarplot({2,[2*cos(t),t, t=0..2*Pi]}, t=0..2*Pi);

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

polarplot({2,[4*sin(t),t, t=0..2*Pi]}, t=0..2*Pi);

LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDdTNyQkIiIjIiIhJEYsRiw3JCQiMylSJj0oW1pzNyk+ISM8JCIzLEdxTGZqYklGISM9NyQkIjNdYzQvPy93TT5GMSQiM2tndmozemRtXUY0NyQkIjM/P1RTJ0g8KFw9RjEkIjN5K2JNTTFBMXdGNDckJCIzLTAtKVs9OTF0IkYxJCIzRSF5YmY9JVstNUYxNyQkIjNtRl1IMy8mM2UiRjEkIjNQUV55SnI2RDdGMTckJCIzVyFSJTNPW147OUYxJCIzJlJFOXlgMz5UIkYxNyQkIjN4IioqUUI6IkhCN0YxJCIza3puXzJRRSNlIkYxNyQkIjNxJmY7XkphQCsiRjEkIjNwKm9AYkEwM3QiRjE3JCQiM0g/KFJkTHotayhGNCQiM1tzU0grSkpbPUYxNyQkIjNHMU9sMUV4XV1GNCQiMzsoUSJbRE88Tj5GMTckJCIzaUkiR2VxdC1wI0Y0JCIzPT5oIz5aQj0pPkYxNyQkITMhR3FtQUUyVT4iISM/JCIzL0FzWVYnKioqKio+RjE3JCQhMzxVLVdZWSdccyNGNCQiM00uWl5lJVw4KT5GMTckJCEzIVF2Kj5EVU8jSCZGNCQiM1MsJjM+XjEoRz5GMTckJCEzKXklUSJceTxpYShGNCQiM3ElWzUuSnRAJj1GMTckJCEzTHNNK1pJWTM1RjEkIjNWIilSNz5xOEY8RjE3JCQhM1pxenQoKXkqeT8iRjEkIjNvIip6UThnLyVmIkYxNyQkITMkKkh3RWlLJ3lUIkYxJCIzNlZhPj5XYjU5RjE3JCQhM29hV2pNMyUzZSJGMSQiM2QsKD1fW0heQSJGMTckJCEzUkljUVU4Jz10IkYxJCIzVygzYDo0Ry4rIkYxNyQkITNnSSNHLEQoPVk9RjEkIjNDJCl6KXklZl0icChGNDckJCEzbGhYcylwQ0YkPkYxJCIzeXBMIz14KG9WXkY0NyQkITNJOkE5LWdTIik+RjEkIjNqQUAhcDhdM3MjRjQ3JCQhM1MoPjo9USEqKioqPkYxJCIzLShSNihSQWotaUZkbzckJCEzaWYqR2NnKG8iKT5GMSQhM3gqRzNUZGotcSNGNDckJCEzLjxdNig0OFskPkYxJCEzXyR5amwiZmNrXUY0NyQkITM3MHBFW0NsXz1GMSQhM0Z5ZlhMcFdNdkY0NyQkITMjWyU0PU1zJFt0IkYxJCEzaSxpZ1A7ZV4qKkY0NyQkITNpUGoxa05AKmUiRjEkITM9QGgnNCUpW1VAIkYxNyQkITNLPjk7Kj44QFUiRjEkITNPJz1RMGJwaVMiRjE3JCQhMyRIJUchKSpIPCg0N0YxJCEzKSkzYTQyZG0jZiJGMTckJCEzaUhHOSIqcFAiKSoqRjQkITMjeSw8TW5DSnQiRjE3JCQhM3NGNDBNSmNYdkY0JCEzcSdwdzUpKio+Xz1GMTckJCEzbnNYW1g4TDxfRjQkITN6PT9ETShcMiQ+RjE3JCQhM1E9OS5XUDgkZSNGNCQhMz1cRjQnUltLKT5GMTckJCEzQDsuaTpweTloRmRvJCEzQypSQkJsISoqKio+RjE3JCQiM1F6Onktald2REY0JCEzQUlBbnIkW0wpPkYxNyQkIjMzWzN0J1sjMzVeRjQkITNdPUdJSmZoTD5GMTckJCIzJVIkUkdxbGZyd0Y0JCEzXTVkeFlhLFo9RjE3JCQiM1EsKyJmNGcxKyJGMSQhM015JHBLYHA7dCJGMTckJCIzVGdEemgrKD1BIkYxJCEzRXU4TXM5TyRlIkYxNyQkIjNEKCk0emcrJyk+OUYxJCEzOkFHdkdXYTM5RjE3JCQiM212OTFrYy4hZSJGMSQhMyskPm0jSHg7RTdGMTckJCIzJm8ySjVcblt0IkYxJCEzQ1xhL2VUMF4qKkY0NyQkIjM1cmAnND0rXSU9RjEkITNXeGJxJVFQKj54RjQ3JCQiMyo9YGxyd1A0JD5GMSQhMzlcQShvI3pPNV9GNDckJCIzOSpISU81IlIiKT5GMSQhMyskelY7KFskPnMjRjQ3JCQiM3kqKioqKioqKioqKioqKj5GMSQhMzMlR2w0STw+XiMhI0QtJSZDT0xPUkc2JiUkUkdCRyQiIzUhIiIkRixGYltsRmNbbC1GJjYkN11xNyRGLUYtNyQkIjNpR2A2bGpiSUZGNCQiM0toInkyX19GKD0hIz43JCQiM3IicHJxO3cqNGFGNCQiMzVPPTJqIVFmWChGXVxsNyQkIjNbKD1AZig9aWd3RjQkIjNvMFdNLzVIRDpGNDckJCIzeEA+cUBXaC0pKkY0JCIzIVxAQTY9QHFjI0Y0NyQkIjM/cyJHS2QoUi83RjEkIjM3OmFhQGsyTFNGNDckJCIzU0JMNyp5TnBTIkYxJCIzSVI6QGQjZmF5JkY0NyQkIjNdLScqZlB5SyZlIkYxJCIzJVJISWEtQm8heUY0NyQkIjMpZTllWE44XHQiRjEkIjM9IykzKHBhdVwrIkYxNyQkIjN1MU5XNzhcXz1GMSQiM09ZbGM0I2ZoQyJGMTckJCIzS3BKUj5wc08+RjEkIjMlPWlKPyo+IjRdIkYxNyQkIjMhR3h6OlIxUCk+RjEkIjM5NDRxWXdBWDxGMTckJCIzXW8pSDVSKikqKio+RjEkIjNRMCpHZXMmWyQqPkYxNyQkIjNtaV89Km9QVSk+RjEkIjMhUlVmTiczZ11BRjE3JCQiM08lUWNXSnBiJD5GMSQiM1QhcEtUd2VOXSNGMTckJCIzXUkoSHVndjkmPUYxJCIzIVxlX3QpPkxjRkYxNyQkIjM0RnUlNCNSYE08RjEkIjMvPCtVT25vJipIRjE3JCQiMyE+LVkoUSNSdGUiRjEkIjMnKltXWVshKXA7S0YxNyQkIjNoP1xdSkc7NzlGMSQiMzFyJjNRS2hpVCRGMTckJCIzJj5XIlIuUS4xN0YxJCIzKVJ0Jj0/b1gmZiRGMTckJCIzSWYiUipRPTd1KCpGNCQiMyk9KltCbXAqW3UkRjE3JCQiMyJwLWxPNVZ6ZyhGNCQiMzM0VVFka2tcUUYxNyQkIjM0a1hCZXVrSmBGNCQiMzsmelByRkN3I1JGMTckJCIzbSYpUVNmJlIleUVGNCQiM086KG92diQpPilSRjE3JCQhMylvdk5RW0YlKVEjRmRvJCIzZ0lJJlFkKSoqKipSRjE3JCQhM0JyYmMzXXpPRkY0JCIzY2lzdyVSJz0iKVJGMTckJCEzOU4hUW5PMiIqUiZGNCQiM1lHLSRHblhkI1JGMTckJCEzW3llI1I7UzMoeUY0JCIzQE0mNCZvS2hRUUYxNyQkITMoeUxAenVUMi0iRjEkIjNDWl8zLCkzKj5QRjE3JCQhMzFdX0NxMiV5QCJGMSQiM2M8P00ob2lrZSRGMTckJCEzW0UkRyVILnAoUiJGMSQiM0IpKUd4ZmZhSU1GMTckJCEzWUBJNiZ5ImYmZSJGMSQiM3A8MUlVVygqPUtGMTckJCEzP0lyb3BRdlQ8RjEkIjNFSmREbkErJClIRjE3JCQhM3Nwd2BOMyhvJT1GMSQiM2E0PCEzdDJ2dyNGMTckJCEzOzI8azxbV0Q+RjEkIjM1diQqZnVFKTRhI0YxNyQkITMxNCRHWlxzPik+RjEkIjNzLk48JkdGekUjRjE3JCQhM0VORUkhSHQqKio+RjEkIjNrXStVXFBtKik+RjE3JCQhM3k3JkhWMGtNKT5GMSQiM203SSNHInlNVjxGMTckJCEzSl5CbjdadE8+RjEkIjM/JipwMk5BJTRdIkYxNyQkITN1LzUhbyRwYl49RjEkIjNtVVMkWzhuUUMiRjE3JCQhM1o0OEtTJkhDdCJGMSQiMykqXF1WcmlsKzVGMTckJCEzP2wxQGh2VSplIkYxJCIzZXpDI1whSEpneUY0NyQkITNBJCk0MDBnKio+OUYxJCIzPiFbPCYzaSNmImZGNDckJCEzIWZHSWZwKTM9N0YxJCIzKSlSSGZDbUZQVEY0NyQkITNrQmM6Jz1LOCUqKkY0JCIzL1clKVJuQXZYRUY0NyQkITNxcl5VNlE+RHhGNCQiM29VOU8qWyk+XzpGNDckJCEzcUtrb1gmMzZSJkY0JCIzOjBNW3haLS51Rl1cbDckJCEzUUtdcmNrRyN5I0Y0JCIzYT1hN2lXdFc+Rl1cbDckJCEzbFciSCkzeV5TN0ZdXGwkIjNnKUddJCkzW3MlUSEjQTckJCIzUkQoej5ZI3pRRUY0JCIzRSFRKSkqKjRcJVs8Rl1cbDckJCIzMScpM3FEIno1TiZGNCQiMyEqSFdcO1RVIkgoRl1cbDckJCIzbjlhY3ptV0l3RjQkIjNlXHMhR2UyR14iRjQ3JCQiM11VNScpPSgpKSopeipGNCQiM29FcDZNSClcYyNGNDckJCIzJz0ydGhQSiEpPiJGMSQiMzdcVDVGVUQmKVJGNDckJCIzJ1w4Ikd4NihlUiJGMSQiMylbJm8ucCMqeXdjRjQ3JCQiMyd5dnRxMiRSdjpGMSQiMzNPSGYjPUooeXdGNDckJCIzWFkpUkBYUGtzIkYxJCIzYSllJkd5elIuKipGNDckJCIzQTgmXCkpW0BTJT1GMSQiM3JTJVEyVXJjQSJGMTckJCIzXzIjM250KyhIPkYxJCIzWWchcCp5LVN1OUYxNyQkIjMpUTxsJ3k0JDMpPkYxJCIzJlskZWVEKWZQcyJGMTckJCIzQ2NMeCpbdSkqKj5GMSQiMy9pNTwjMyVmeD5GMTckJCIzbS1wRmYocEkpPkYxJCIzW2JBNTM3b2ZBRjE3JCQiMzI0OFJcX25FPkYxJCIzMXJkKnkzJWVPREYxNyQkIjNQPSUpZnlfOVY9RjEkIjNlYWItRz5Ud0ZGMTckJCIzdnY7KmUwKCopSDxGMSQiM2VFaFprNnMuSUYxNyQkIjNvQDxidGBDeTpGMSQiM24vXyxAN1pHS0YxNyQkIjMhSEthSTsqZShSIkYxJCIzJVtXWmN6VzFWJEYxNyQkIjM7KzEuQW5nNjdGMSQiM08wdid6IilHN2YkRjE3JCQiMzhtXjl5Z0wyNUYxJCIzeio+KlJiWHpGUEYxNyQkIjNhTWcxXlNLbndGNCQiM2txLU1bRz5aUUYxNyQkIjNKSyYqUnhhKkg3JkY0JCIzaT9QZzVVRkxSRjE3JCQiMzw/YkomKXB2VkVGNCQiMythM0ttJFxDKVJGMTckJCIzRFMkKSplbFpIQSJGXVxsJCIzRWppaTRFJyoqKlJGMTckJCEzTVE+dTBmejlERjQkIjNdVmMoPl5FVClSRjE3JCQhM3ZtTG5IdyszXkY0JCIzIkc+IylHdnFPJFJGMTckJCEzOyRwUnJGKlxkdkY0JCIzN09oT3RLcl5RRjE3JCQhM19yKlJaRlA0KSkqRjQkIjMtUShwKVswKClRUEYxNyQkITNgdSU9ZTs7T0AiRjEkIjM1Jz4nPWtucCplJEYxNyQkITN6SyNwdHdicFQiRjEkIjMqMzE5KUhnWTZNRjE3JCQhMyV5RVRrJjNOKWUiRjEkIjMoSF5kYDd4YEAkRjE3JCQhMydbJHpeQkUiR3QiRjEkIjM/XykzUUx6JykqSEYxNyQkITM3MENOPTQ5XT1GMSQiM0lDYV1pNWZmRkYxNyQkITN0Yl5rIio+bU0+RjEkIjMmNCI0JnldTHFdI0YxNyQkITNJJzM+ISkqXGclKT5GMSQiM2MsO0IlPnZ3QyNGMTckJCEzYzkzJ3koZiQqKio+RjEkIjMtUCEzNE8oKlIpPkYxNyQkITNTXFU2LiZvSyk+RjEkIjMwbCIqKXkvVD11IkYxNyQkITNMYjJaSSgpUVA+RjEkIjMnPSJbKlFEKFsuOkYxNyQkITMjeidcIzNGcShcPUYxJCIzY1RcMXZuXVI3RjE3JCQhM2QkZVk3LHdqcyJGMSQiM1VAeCU+WVpCISoqRjQ3JCQhMzFuQy1FI1F3ZSJGMSQiM1RVREIjPUBwJHlGNDckJCEzdSJHISk+YkdWVSJGMSQiMyMqKnltXydIdWZmRjQ3JCQhM2onelo2USMqZkEiRjEkIjNDbjpBWkZHKT4lRjQ3JCQhM1oud3d3JiozMTVGMSQiM0ROO1NOSno5RkY0NyQkITNXITNVSEZKKSp5KEY0JCIzTSlcbCNRJCpSejpGNDckJCEzSXEuO05xQCRSJkY0JCIzPzBRZ0whRyozdUZdXGw3JCQhM0BFJFFnZk0+cyNGNCQiMylcRGQkZSMqKTMnPUZdXGw3JCQiM1cpSFhpJltsIkckISNFJCIzYyhleilbWUojcCMhI04tRl1bbDYmRl9bbEZjW2xGYFtsRmNbbC0lJVZJRVdHNiQ7JCExLDpYKj0hKip6PyEjOiQiMS9qajIpKioqej9GZGptOyQhMUdwJW9WISoqPkBGZGptJCIyJWVsUGUkKSoqPlQhIzs=