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polar curve

• To: mathgroup at smc.vnet.net
• Subject: [mg32330] polar curve
• From: TeKkEnXpErT at aol.com
• Date: Tue, 15 Jan 2002 02:30:07 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

A polar curve defined by the equation r = 4cos(theta) -pie/2<=theta<=pie/2

Parametrize the curve by x(theta), y(theta). Find the points (x,y) on this 
curve at which x'(theta)=0. What can you say about the tangent at  these 
points?