Consider the polar curve r = sin(3θ). Sketch this polar curve on the interval 2π/3 ≤ θ ≤ π.

Please sketch the plot of the polar curve sin(0) and then calculate the shaded area for 0 < 0 < 7/4

Find the locations of horizontal and vertical tangents. Enter all points in polar form (r, ), separated by commas (enter NONE if none exist); give values of such that 0 ≤ 0≤, then allow r to be positive or negative accordingly. r=1+6 cos Horizontal tangents: 9- Vertical tangents:

Show that the polar equation for the curve with Cartesian equation x² – y² = 1 is r? = sec 20.