Question

I really need help please, any Expert willing to help me out? I don’t understand on #2, for a,b, and c.

Answer 1

Step-by-step explanation:

a) Tangent equals sine divided by cosine.  Therefore:

tan(-t) = sin(-t) / cos(-t)

b) Using the fact that sin(-t) = -sin(t) and cos(-t) = cos(t):

tan(-t) = -sin(t) / cos(t)

tan(-t) = -tan(t)

c) A function is symmetric about the origin if f(-x) = -f(x) (in other words, if it's an odd function).  Therefore, y = tan(t) is symmetric about the origin.