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# C4 parametric domain

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1. A curve has parametric equations . Find a cartesian equation of the form and state the domain on which the curve is defined.

I've found the cartesian equation .

Now here's where my problem lies - my teacher said that the curve is valid for all real values for and he docked a mark at first, but clearly the range of being restricted would mean that this can't hold true. He later took a look at the problem and he later agreed with me.

Wouldn't the domain be ? This is what I initially wrote on my paper.
2. (Original post by Ayman!)

Wouldn't the domain be ? This is what I initially wrote on my paper.
Yep, that's fine.
3. if you look at this graph you can see that you are right....

4. (Original post by Zacken)
Not greater than or equal to - strict inequality. But otherwise - yeah.

Why strict? I thought we're letting so can be 0?

(Original post by the bear)
if you look at this graph you can see that you are right....
Thank you, this is how I looked at it initially.
5. (Original post by Ayman!)
Why strict? I thought we're letting so can be 0?
Edited my answer before you replied.

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