1. The problem statement, all variables and given/known data Consider the curve with parametric equations: x = t - cos t, y = sin t. Determine exactly the equation of the tangent to the curve at the point where t=-0.5pi. 2. Relevant equations 3. The attempt at a solution The equation of a line is y - y1 = m ( x - x1 ) I substituted t = -pi/2 into x and y to get x = -pi/2 and y = -1 Differentiating dy/dx as (dy/dt)/(dx/dt) came out as cos t/1 + sin t When substituting in for t = -pi/2, I was left with 0/0 From this point, I am unsure what the nature and equation of the tangent would be, as a horizontal line would have 0 as the numerator and a non-0 value as the denominator, and vice versa for a vertical line. Any help would be greatly appreciated.