Find the Cartesian coordinates for the point on the curve corresponding to \(\ds \theta = \frac{\pi }{3}\text{.}\) One of graphs in Figure 4.3.1 is the graph of \(r=4\cos(3\theta)\text{.}\) Indicate ...

The coordinates that we are using are ... are any two points on the tangent to the curve. The following graph shows the car journey from Chelsea’s house to her mother’s house.

right)\) Find the equation of the tangent line to the graph of \(y=\arcsin x\) when \(\ds x=-\frac ... where it is tangent to \(C\) and (without necessarily calculating the coordinates) the point ...

This circle has the centre at the origin and a radius of 1 unit. The point P can move around the circumference of the circle. At point P the \(x\)-coordinate is \(\cos{\theta}\) and the \(y ...