Thread: Relating X and Y

Eliminate t to give an equation that relates x and y:
x=cos(t)y=sin2(t)−3

y= ??

Remember the identity:



So:







Now we look at x:



Square both sides:



Multiply both sides by -1:



Now, subtract both sides by 2:



We know that:



So, we get:



And there you go.

Originally Posted by gearshifter

Eliminate t to give an equation that relates x and y:
x=cos(t)y=sin2(t)−3

y= ??

Here is a slightly different attempt:





Add columnwise:

wow thanks. I was stuck on that for sometime because i didnt know how to relate it!