What is the graph of #r=a cos 6theta#? Precalculus Polar Coordinates Rose Curves 1 Answer Roy E. Jan 25, 2017 A rose curve with 12 petals. Explanation: #r= a cos n theta# gives a rose curve with #n# petals if #n# is odd and #2n# petals if #n# is even. If #n# is irrational it fills the entire disk #r<=a#. Answer link Related questions What is a rose curve? How do I graph a rose curve? What is the formula for a rose curve? What happens to a rose curve if #n=r/s# is a rational number? What happens to a rose curve if #n=r/s# is an irrational number? What is a quadrifolium? What is the graph of #r=a cos 2theta#? What is the graph of #r=a cos 4theta#? What is a lemniscate curve? How do you graph the function #r=sin3θ#? See all questions in Rose Curves Impact of this question 4780 views around the world You can reuse this answer Creative Commons License