Find the exact value of the trigonometric expression given that sin(u) = -(3/5),
where 3π/2 < u< 2π, and cos(v) = 15/17, where 0 < v< π/2.

trigonometric expression:
cot(u + v)

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.