2.Make a sketch of the following polar equation: r = 2 +4 sin 0 (r, 0). Determine also the tangent gradient of the polar curve at the point with 0 = "/2

determine the slope of the tangent line to the polar curve r = 1+3 cos(20) at 0

7 Find the slope of the tangent line to polar curve r = 8 – 7 sin 0 at the point ( 8 2' 6

Eliminate the parameter in the parametric equations x =7+ sint, y = 2 + sint, for 0sts and describe the curve, indicating its positive orientation. How does this curve differ from the curve x = 7+ sin t, y = 2 + sin t, for 7stsn?