Find the slope of the tangent line to the curve where \(\ds \theta = \frac{\pi }{2}\text{.}\) Find the points on this curve where the tangent line is horizontal or vertical. Consider the curve given ...

As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx + c\). We can use perpendicular gradients to find the value of \(m\), then use the coordinates of P to ...