What is the derivative of sin t / 1 - cos t?

Answer 1

y = sint / (1-cost)

Using the Quotient Rule, dy/dx = [(1-cost)cost - sintsint] / (1-cost)²

= [cost - cos²t - sin²t] / (1-cost)² = (cost - 1) / (1-cost)² = -(1-cost) / (1-cost)² = 1/(cost - 1)