Question

Doing parametric curves, graph the curve
x = y - 2sin(pi)y
I thought 2sin(pi) = 0, thus x = y - 0, so the graph would be linear but the back of the book shows something really funky. Any suggestions?

Answer 1

question in the book and graph it shows me. i don't get this at all.

Answer 2

sin2pi y is zero only for integral values of y = n+1/2 n is any natural number hence
the above graph must look like a distorted sinusoidal graph that proceeds along the y axis and slants to +x direction

Answer 3

question in the book and graph it shows me. i don't get this at all.

Answer 4

how do i come across getting values for graphing it though?