Mathematics, 21.09.2019 02:40 VanBrocklin4706
Equation of tangent line to the polar curve r=1-cos(theta) where theta=pi/3
Answers: 1
![\bf r=1-cos(\theta)\qquad \begin{cases} \theta=\frac{\pi }{3}\\ --------------\\ r=1-cos\left( \frac{\pi }{3} \right)\to 1-\frac{1}{2}\to \frac{1}{2} \end{cases} \\\\ -----------------------------\\\\ \left. \cfrac{dr}{d\theta} \right|_{\theta=\frac{\pi }{3}}\implies \cfrac{dr}{d\theta} =0-[-sin(\theta)]\to sin(\theta)\qquad when\quad \theta=\frac{\pi }{3} \\\\\\ \cfrac{dr}{d\theta}=sin\left( \frac{\pi }{3} \right)\to \cfrac{\sqrt{3}}{2}\\\\ -----------------------------\\\\ ](/tpl/images/0248/2279/bcba2.png)
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Equation of tangent line to the polar curve r=1-cos(theta) where theta=pi/3...
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