# Eliminate the parameter..

• Apr 15th 2010, 08:13 PM
boardguy67
Eliminate the parameter..
I have a set of parametrics given as:

x= f(t) = cos(t)
y= g(t) = sec(t) =1/cos(t)
0<=t<=pi/2

Trig stuff...argh...is one of my weaknesses. Maybe as a result, I have heap big difficulty seeing how I might solve either equation for t, so that i substitute and make a Cartesian equation...

Ideas?
• Apr 15th 2010, 08:18 PM
Failure
Quote:

Originally Posted by boardguy67
I have a set of parametrics given as:

x= f(t) = cos(t)
y= g(t) = sec(t) =1/cos(t)
0<=t<=pi/2

Trig stuff...argh...is one of my weaknesses. Maybe as a result, I have heap big difficulty seeing how I might solve either equation for t, so that i substitute and make a Cartesian equation...

Ideas?

Substitute $\displaystyle x$ for $\displaystyle \cos(t)$ in $\displaystyle y=1/cos(t)$ perhaps? - If you do that you get $\displaystyle y=1/x$.
• Apr 15th 2010, 08:25 PM
boardguy67
Ahhh.. Thanks. Sometimes i fail to see the forest for the trees.