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Stitz-Zeager_College_Algebra_e-book

# We leave it to the reader to show that if z is real

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Unformatted text preview: ations like the ones given in Example 11.4.3 number 2 on the Cartesian coordinate plane without converting back to rectangular coordinates. If nothing else, number 2c above shows the price we pay if we insist on always converting to back to the more familiar rectangular coordinate system. 11.4 Polar Coordinates 11.4.1 793 Exercises 1. For each point in polar coordinates given below plot the point and then give three diﬀerent expressions for the point such that • r < 0 and 0 ≤ θ < 2π • r > 0 and θ < 0 (a) 2, π 3 (c) (b) 5, 7π 4 (d) 1 3π , 32 7π 12, − 6 • r > 0 and θ ≥ 2π (e) (−20, 3π ) (f) −4, 5π 4 2. Convert each point in polar coordinates given below into rectangular coordinates. Use exact values if possible and round any approximate values to two decimal places. (a) (b) 7π 4 π 2, 3 5, (c) 11, − 7π 6 (d) (−20, 3π ) (e) 3π , 52 (f) (−7.8, 0.937) 3. Convert each point in rectangular coordinates given below into polar coordinates with...
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