# Find all points of interception of the pair of polar equations in polar form r=3 and r=-4cosx

Find all points of interception of the pair of polar equations in polar form r=3 and $r=-4\mathrm{cos}x$
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Nicole Conner
Step 1
Given polar equations:
r=3
$r=-4\mathrm{cos}\left(0\right)$
Step 2
To find points of intersection of given polar equations:
$-4\mathrm{cos}\left(0\right)=3$
$\mathrm{cos}\left(0\right)=-\frac{3}{4}$
$0={\mathrm{cos}}^{-1}\left(-\frac{3}{4}\right)$
$0={138.6}^{\circ },{221.4}^{\circ }$
Step 3
Therefore,
The points of intersection of the pair of polar equations are
$\left(3,{138.6}^{\circ }\right)$
$\left(3,{221.4}^{\circ }\right)$
Jeffrey Jordon