The included angle of the two sides of constant equal lengths s of an isosceles triangle is θ.

(a) Show that the area of the triangle is given by A = 1/2 s² sin θ.

(b) The angle θ is increasing at the rate of 1/2 radian per minute. Find the rates of change of the area when θ = π/6 and θ = π/3.

(c) Explain why the rate of change of the area of the triangle
is not constant even though dθ/dt is constant.