Stitz-Zeager_College_Algebra_e-book

Using the notation from section 74 we have a2 22 e b2

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Unformatted text preview: location coterminal with 240◦ . Hence, our answer here is (−2, 60◦ ). We check our answers by plotting them. Pole θ = −120◦ P (2, −120◦ ) Pole θ = 60◦ P (−2, 60◦ ) π π 2. We plot −4, 76 by first moving 4 units to the left of the pole and then rotating 76 radians. Since r = −4 < 0, we find our point lies 4 units from the pole on the terminal side of π . 6 P −4, Pole θ= Pole 7π 6 7π 6 11.4 Polar Coordinates 785 To find alternate descriptions for P , we note that the distance from P to the pole is 4 units, so any representation (r, θ) for P must have r = ±4. As we noted above, P lies on the terminal side of π , so this, coupled with r = 4, gives us 4, π as one of our answers. To find a different 6 6 representation for P with r = −4, we may choose any angle coterminal with the angle in the π π π original representation of P −4, 76 . We pick − 56 and get −4, − 56 as our second answer. P 4, θ= π 6 π θ = − 56 π P −4, − 56 π 6 Pole Pole π 3. To plot P 117, − 52 , we move alon...
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