Question

For the function h(x) = 2cot(x/2) an expression for the value of all asymptotes is

Answer 1

Can you rewrite cot(x) in terms of sin(x) and cos(x)?

Answer 2

The height H in feet above the ground of the seat of a playground swing can be modeled by H(θ) = -4cosθ + 6, where θ is the angle the swing makes with a vertical extended to the ground. Graph the height of the swing's seat for 0º ≤ θ ≤ 90º. Then answer this question: How high is the swing when θ = 60º? 6 ft? 4ft? 0.5 ft? or 2 ft?