Math HELP!

[chapz]

hey guys, so im having trouble converting this polar equation into a cartesian equation. please help! its probably really easy, i just am brain fried at this point. btw im using x as a variable, but it should be theta....

r = 1 / (1 - sin(x)) -> needs to be in terms of x and y.

x=rcos(x)

y=rsin(x)

 

[epoxiedtip]

tuturvista.com

 

[corona]

all I can see you getting is y= r-1

 

[00_Koda]

i just wanna say fuck math its my weakness, the end.

 

[corona]

oh fuck the x as theta messed me up.. oops

 

[corona]

does this work? (using z as theta to not get confused)

r= 1/(1-sinz)

r= 1/(cosz^2+sinz^2-sinz)

rcosz^2+rsinz^2-rsinz = 1

= x^2 + y^2 - y -1

 

[chapz]

what identity did you use from the original to the second step?

 

[corona]

that

1 = cosx^2 + sinx^2

 

[chapz]

mhm, well if i graph the original and yours, theyre different which isnt a great sign haha

but i think the problem is you put rsin^2(z) = y^2, i think it has to be r^2 and sin^2 to work no?

 

[corona]

maybe, what did you set r as when you graphed it?

 

[chapz]

the original function, and then i tried yours with the x and y(using cartesian notation) and it didnt give the same graph! frig i hate this. its the only problem i cant seem to get! thanks for all your help though!