Question

CALCULUS II: Determine where the tangent line is horizontal or vertical:
x = 4 sin(2t) y = 2 cos(3t)

Answer 1

y'=0 is horisontal
x'=0 is vertical

Answer 2

y'=0 when sin 3t = 0
x' = 0 when cos 2t = 0

Answer 3

How would I find the points where one of these tangent lines occur?

Answer 4

solve for the zeros, then plug it into the xy parts that they gave you of course ...

Answer 5

I can do that..Thanks!

Answer 6

spose x'=0 when t=k

therefore: x = 4sin(2k) and y = 2cos(3k)

Answer 7

good luck :)