Question

Find the points of horizontal tangency to the polar curve.

r = a sin θ      0 ≤ θ < π, a > 0
(r, θ) = 
 
 
 
 

(smaller r value)

(r, θ) = 
 
 
 
 

(larger r value)

Find the points of vertical tangency to the polar curve.

(r, θ) = 
 
 
 
 

(smaller θ value)

(r, θ) = 
 
 
 
 

(larger θ value)

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