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**CenturionMonkey** Hey, this is my final question for my assignment. Needless to say, i'm stuck.

Use the given curve to answer the following questions.

*x* = 3cos(*t*)

*y* = sin(*t*)cos(*t*)

(a)Show that this curve has two tangents at (0, 0) and find their equations.

y=? (smaller slope)

y=? (larger slope)

i did this:

dy/dx = (dy/dt)/(dx/dt) = ((cost)^2 - (sint)^2)/-3sint

so since i know it's at (0,0), i know that i have to sub t=0, but if i do that then the slope becomes undefined. so i dont know what i'm doing wrong here. I appreciate any help, thanks.

ps. i want to thank everyone for helping me tonight with my assignment, and sorry for not writing it in that fancy math code, i dont know how to do trig that way.