Which graph represents the polar curve r is equal to 5 minus cosine of theta ?
Answer
A
Image with description On a polar coordinate plane, a circle goes through (4, StartFraction pi Over 2 EndFraction), (5, pi), and (6, StartFraction 3 pi Over 2 EndFraction).
B
Image with description On a polar coordinate plane, a circle goes through (6, StartFraction pi Over 2 EndFraction), (5, pi), and (4, StartFraction 3 pi Over 2 EndFraction).
C
Image with description On a polar coordinate plane, a circle goes through (4, 0), (5, StartFraction 3 pi Over 2 EndFraction), and (6, pi).
D
Image with description On a polar coordinate plane, a circle goes through (5, StartFraction pi Over 2 EndFraction), (6, 0), and (4, pi).
Explanation
Evaluate r = 5 − cos θ at the key angles: r(0) = 4, r(π) = 6, and r(3π/2) = 5. Choice B includes the points (4, 0), (6, π), and (5, 3π/2), so it represents the curve.
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