Parametric Equations : Converting to Cartesian form (2) : ExamSolutions

Tutorial on parametric equations and converting to cartesian form.

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[robbiedart]

I suppose for the 2nd question you could replace cos2x with 2cos^2(x)+1 and rearrange to get sin^2+cos^2=1 again. It comes out with the same answer.

[mmcnabbc]

After you find the equations, ie x^2 and y^2, take the square roots and solve for y to get the equation of the curve

[purplefire]

all right so i have some questions and any help is appreciated!
 *I'm just learning this and so far I've really only seen the conventional f(x)= x + a (or trig/rational functions etc.) basically where y or f(x) is on one side and the equation is on the other and that suffices to describe the function. But I've never seen two equations describe a single function and i want to know why this is suddenly happening (i get that the two equations show where the object with respect to time) it's just a function has never been described with two equations for me and i feel like I'm missing something here why is this extra description needed (I know it's a weird question)
*Also what is a parameter exactly,  is it the same thing as a variable, like for an equation F(x)=cos2x is x the
*Finally, under what conditions/or what type of function do we need something like this where we need a pair of equations to describe the function?
I haven't gotten my textbook yet and all I have to go off of are my notes so i would really appreciate the help THANKS AGAIN!

[TheOwnerPO]

the questions come 10x harder than this...

[healthwealthlifestyle]

Thanks much. Your videos are of great help!!!

[okxd]

what would happen if you had e involved in the parametric equations

[ramminus]

Hey, for the second question could you make cos2theta= 2cos^2theta -1 and rearrange to make it cos^2= and then use the identity cos^2 + sin^2 = 1

[akvolkswagen]

Thank you so much, these was really help full!

[Cyno]

so cartesian means to express in terms of x and y