To construct the tangent to a curve at a certain point A, you draw a line that follows the general direction of the curve at that point. An example of this can be seen below. Once the tangent is ...

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

8. Consider the parametric curve x(t) = −2+2cost, x (t) = 2 + 2 cos t, y(t) = 1−2sint. y (t) = 1 2 sin t State the Cartesian equation of the curve and the sketch the curve. Determine the direction of ...