Question

a) sketch curve
b) find a rectangular coordinate equation for the curve by eliminating the perimeter
x=sec(t), y=tan(t), 0
10 years ago

Answer 1

I simplified x into
x= 1/cos(t)
and y = sin(t)/cos(t)

then y = [sin(t)][1/cos(t)]

Answer 2

then plugged x into y and got
y=sint(x)

Answer 3

eem..I got confused on that second part there because there's lots of ='s xD
yeah the first part is easy

Answer 4

ok, line by line y^2 = tan^2 t , ok?

Answer 5

right

Answer 6

yup

Answer 7

yeah.aah I see.

Answer 8

ok, last line is obvious. right?

Answer 9

Yep!!

Answer 10

well the
sec^2t= x^2 makes sense

Answer 11

how you got to x^2-1=y^2 I don't know.

Answer 12

how cannot?
y^2 +1 = x^2
just -1 both sides

Answer 13

Oooh sorry, i had written it wrong on my paper. k.

Answer 14

it could also be written x^2-y^2=1 right?

Answer 15

sure

Answer 16

then we just plug in numbers for x and find y.

Answer 17

Kk's thanks! :)

Answer 18

hihihi... tip for a)
x^2 -y^2 =1 is a hyperbola with the center at origin

Answer 19

Oo that is helpful.

Answer 20

Hold up, how do I find the perimeter?

Answer 21

like they give me 0 </= t </= pi/2
but I have to do that for
x and y