How many petals does the rose curve r equals 2 sin 5 theta have?

1. The curve has the form r equals a sin n theta, so n is 5 and a is 2. 2. An odd n gives n petals rather than 2n. 3. Since 5 is odd, the count is simply 5. 4. So the curve has 5 petals. 5. Answering 10 petals doubles n, which is the rule for even values only. _Source: OpenStax Precalculus (CC BY 4.0), Ch 8 "Further Applications of Trigonometry", section 8.4 Polar Coordinates: Graphs_