Question

What is the slope of the tangent line to the graph of h(t) at t=2/3π if h(t)=cot(t)

Answer 1

Consider what you already know to help you figure this one out.

Cot is the same thing as 1/tan and tan is just sin/cos
Using the quotient rule and knowledge of the derivatives of sine and cosine you should be able to figure this out.

What does a derivative do? It tells you the slope of a line at any point, but you want a specific point. So use this information to form a simple linear graph of y=mx+b