Question Solve the equation Solve for θ Solve for r θ=arccos(r2) Evaluate r2=cos(θ)Swap the sides of the equation cos(θ)=r2Solution θ=arccos(r2) Show Solution Rewrite the equation x6+3x4y2+3x2y4+y6=x2 Evaluate r2=cos(θ)Multiply both sides r3=rcos(θ)Rewrite the expression −rcos(θ)+r3=0To covert the equation to rectangular coordinates using conversion formulas,substitute rcosθ for x −x+r3=0Simplify the expression r3=xEvaluate r2×r=xEvaluate (x2+y2)r=xSquare both sides of the equation ((x2+y2)r)2=x2Evaluate (x2+y2)2r2=x2To covert the equation to rectangular coordinates using conversion formulas,substitute x2+y2 for r2 (x2+y2)2(x2+y2)=x2Use substitution (x2+y2)3=x2Solution x6+3x4y2+3x2y4+y6=x2 Show Solution