Consider the parametric equation of a curve: x=cos(t), y= 1- sin(t), 0 ≤ t ≤ π...

Consider the parametric equation of a curve:

x=cos(t), y= 1- sin(t), 0 ≤ t ≤ π

Part (a): Find the Cartesian equation of the curve by eliminating the parameter. Also, graph the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. Label any x and y intercepts.

Part(b): Find the point (x,y) on the curve with tangent slope 1 and write the equation of the tangent line.

Expert Solution

milcah answered 2 years ago

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