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# Parametric equations question

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1. The question is, find a cartesian equation from

x = 1 + sin t
y = 2 - sec t

x - 1 = sin t
2 - y = sec t,

I cant figure out a trig formula to help me get this into an equation? any ideas would be apprienciated!
2. (Original post by SunDun111)
The question is, find a cartesian equation from

x = 1 + sin t
y = 2 - sec t

x - 1 = sin t
2 - y = sec t,

I cant figure out a trig formula to help me get this into an equation? any ideas would be apprienciated!
The usual:

You know that
3. (Original post by Zacken)
The usual:

You know that
oh crap yeah, thanks!
4. (Original post by SunDun111)
oh crap yeah, thanks!
No problem.
5. (Original post by Zacken)
No problem.
I have another question,

So i have X = Sec T + Tan T
y = Sec T - Tan T

I need to differentiate this, so when i differentiate both and divide i get

SecT Tan T ( multiplied) - Sec^2t divided by Sec T Tan t + sec^2t.

How do i rearrange this to get Sin T - 1 / Sin T + 1
6. (Original post by SunDun111)
I have another question,

So i have X = Sec T + Tan T
y = Sec T - Tan T

I need to differentiate this, so when i differentiate both and divide i get

SecT Tan T ( multiplied) - Sec^2t divided by Sec T Tan t + sec^2t.

How do i rearrange this to get Sin T - 1 / Sin T + 1
Factorise:

By writing tangent and secant as sine and cosine and recognising they have the same denominator of .

Then cancel the cosines t.

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