Question

Graph this parametric pair:

x = 7 sin t + sin 7t
y = 7 cos t + cos 7t

Answer 1

I'll start by plugging in the same values as before; 0, pi/4, pi/2, etc?

Answer 2

Go ahead with these values.

Answer 3

x = 7 sin (pi) + sin (7pi) = -4E-13
What did I do worng haha?

Answer 4

t = pi, x = 0

Answer 5

sin n*pi = 0 for n is an integer

Answer 6

But what do I do about the sin 7t?

Answer 7

t = pi, sin 7t = sin 7pi = sin (3*2pi + pi) = sin pi = 0

Answer 8

The graph of this one looks crazy, I don't think I need to do this by hand, maybe I can just use a program.

Answer 9

You may use a program or I would suggest you to include t = pi/6 and pi/3 also in the first quadrant.Plot it in first quadrant. What you have got in first quadrant, just repeat it in other quadrants symmetrically

Answer 10

You don't need to do calculations for other quadrants.

Answer 11

Alright. I'll just do the first quadrant for this. Thanks for your help.

Answer 12

You are welcome :)

Answer 13

If i have more questions will you still be available haha?