Question

Parametric curve x(t)=sin(3pit), y(t)=cos(2pit). t is between [0,2]. Find axis intercepts & turning points

Answer 1

ok, lets find the intercepts

x-intercept: where y is zero, it will cut the x

y-intercept: where x is zero, it will cut the y

Answer 2

i got that far and wrote that for x it equals sin(0) & sin(6pi) and both = 0

Answer 3

therefore (x,y)= (0,0) & (0,2)

Answer 4

what makes this difficult is we are in 3D, I didn't even notice:

Answer 5

is it we haven't learnt about 3d yet it is just X & y axis

Answer 6

it's a parametric curve

Answer 7

but we have x, y and t ??

Answer 8

usually - we have just y(x) = ...

Answer 9

ok,I guess i go wrong approach

Answer 10

I don't know how to do this...

Answer 11

what is t ???

Answer 12

t in between [0,2]