Find parametric equations for the line that is tangent to the given curve at the given parameter value.

r(t)=(5sint)i + (t⁴-4cost)j+(3e^t)k, t=0

What is the standard parametrization for the tangent line?

x=___

y=___

z=___

(Type expressions using t as the variable)

Please include every step necessary to solve this problem, and please write in an organized and neat format.

Showing the work so that I may follow the reasoning is what I'm looking for in this problem. Thank you.