MAT136H1 Lecture Notes - Strategy First
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MAT136H1 Full Course Notes
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Get the angle right, then draw the r depending on the sign. Then whether for , the key is to get the exact same line. It should make intuitive sense as the line is drawn. Then find two other pairs of polar coordinates of this point where one has and the other with . First start from the polar axis and go clockwise since the angle given has negative sign. Then since r is given as , from there flip degrees to the opposite side of the pole and draw length of . Now, to have the exact same line with positive , can be kept at , but the angle would go counterclockwise. Then to have negative r, the angle need to be aligned to. ) which is equivalent to ( ( )