Parametric Equations and slope

[reconrusty]

Homework Statement

Find all the points on the following curves that have the given slope:

x=4cost
y=4sint
slope=1/2

Homework Equations

The Attempt at a Solution

Im not to sure what to do with this question.. I found dy/dx to be -cot(t) but I am not sure if that is even needed for this problem. Any help would be greatly appreciated !

 

[Mark44]

Homework Statement

Find all the points on the following curves that have the given slope:

x=4cost
y=4sint
slope=1/2

Homework Equations

The Attempt at a Solution

Im not to sure what to do with this question.. I found dy/dx to be -cot(t) but I am not sure if that is even needed for this problem. Any help would be greatly appreciated !

That's a good start. Now just set -cot(t) = 1/2 and solve for t.

BTW, your parametric equations represent one curve, not multiple curves.