How many petals does the rose curve r equals 3 cos 6 theta have?

1. A rose curve has the form r equals a cos n theta, so here n is 6 and a is 3. 2. When n is even the curve carries 2n petals, and when n is odd it carries n petals. 3. Since 6 is even, the count is 2 times 6. 4. So the curve has 12 petals. 5. Answering 6 petals applies the odd rule to an even value of n. _Source: OpenStax Precalculus (CC BY 4.0), Ch 8 "Further Applications of Trigonometry", section 8.4 Polar Coordinates: Graphs_