Mathematics, 13.07.2019 13:30 porfi
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r=-3-2 cos(theta)
Answers: 1
![\bf r=-3-2cos(\theta )\\\\ -------------------------------\\\\ \stackrel{\textit{testing for the y-axis, }\theta =\pi -\theta }{r=-3-2cos(\pi -\theta )}\implies r=-3-2[cos(\pi )cos(\theta )+sin(\pi )sin(\theta )] \\\\\\ r=-3-2[-cos(\theta )+0]\implies r=-3+2cos(\theta )\qquad \otimes\\\\ -------------------------------](/tpl/images/0084/9424/5f506.png)
![\bf \stackrel{\textit{testing for the x-axis, }\theta =-\theta }{r=-3-2cos(-\theta )}\implies r=-3-2cos(\theta )\qquad \checkmark\\\\ -------------------------------\\\\ \stackrel{\textit{testing for the origin, }\theta =\pi +\theta }{r=-3-2cos(\pi +\theta)}\implies r=-3-2[cos(\pi )cos(\theta )-sin(\pi )sin(\theta )] \\\\\\ r=-3-2[-cos(\theta )+0]\implies r=-3+2cos(\theta )\qquad \otimes](/tpl/images/0084/9424/e91f3.png)
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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r=-3-2 cos(theta)...
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