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Multiplying Polar Coordinates

Algebra Level 1

What do we obtain when we multiply the polar coordinates:

\[ ( r_1 , \theta _1 ) \times ( r_2 , \theta _2 ) ? \]

\[ ( r_1 \times r_2 , \theta_1 \times \theta _2 ) \] \[ ( r_1 + r_2 , \theta_1 \times \theta _2 ) \] \[ ( r_1 + r_2 , \theta_1 + \theta _2 ) \] \[ ( r_1 \times r_2 , \theta_1 + \theta _2 ) \]

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by Calvin Lin

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