can be written cos sin polar coordinates can be related to cartesian system by

Can be written cos sin polar coordinates can be

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can be written ? = ? ? , 𝜃 = ? cos 𝜃 ? = ? ? , 𝜃 = ? sin 𝜃 polar coordinates ? , 𝜃 can be related to cartesian system by Pythagoras theorem ? = ? 2 + ? 2 trigonometric function 𝜃 = tan −1 ? ? ? ? ? ? 𝜃 ? ? , ? Example Find the polar coordinates of the point whose Cartesian coordinates are −1 , 2 Solution ? = ? 2 + ? 2 = −1 2 + 2 2 = + 5 𝜃 = tan −1 ? ? = tan −1 2 63 ° but −1 , 2 lies in quadrant 𝐈𝐈 the correct angle 𝜃 = tan −1 ? ? + 180 ° ≈ 117 ° the polar coordinates are + 5, 117 ° −1 ? 2 ? 𝜃 ? −1 , 2 𝜃
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