Polar Coordinates

Algebra Level 3

True or false :

If f ( θ ) > 0 f(\theta) > 0 and g ( θ ) < 0 g(\theta) < 0 for all θ \theta , then r = f ( θ ) r = f(\theta) and r = g ( θ ) r = g(\theta) do not have any points in common.

False True

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Hana Wehbi
May 21, 2016

False, because the graphs of f ( θ ) = 1 f(\theta)=1 and g ( θ ) = − 1 g(\theta)=-1 coincide.

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