Mathematics, 17.07.2019 15:00 cassiuspricerules
Will give brainliestdetermine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 8 cos 3θ
Answers: 1
![\bf \stackrel{\textit{testing for the x-axis symmetry, }\theta =-\theta }{r=8cos(3\theta )\implies r=8cos[3(-\theta)]}\implies r=8cos(-3\theta) \\\\\\ r=8cos(3\theta)~~\boxed{\checkmark}~~\impliedby \stackrel{\textit{trigonometry symmetry identities}}{cos(\theta)=cos(-\theta)}\\\\ -------------------------------](/tpl/images/0100/5679/46e9f.png)
![\bf \stackrel{\textit{testing for the y-axis symmetry, }\theta =\pi -\theta }{r=8cos(3\theta )\implies r=8cos[3(\pi -\theta)]}\implies r=8cos(3\pi -3\theta)\boxed{\otimes}\\\\ -------------------------------\\\\ \stackrel{\textit{testing for the origin symmetry, }\theta =\pi +\theta }{r=8cos(3\theta )\implies r=8cos[3(\pi +\theta)]}\implies r=8cos(3\pi +3\theta)\boxed{\otimes}](/tpl/images/0100/5679/25d2e.png)
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Will give brainliestdetermine if the graph is symmetric about the x-axis, the y-axis, or the origin....
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