Question

Explain why there are certain x values that dont have corresponding y values. In other words, why are there holes in the graph of tangent? Provide a thorough explanation that refrences the deffinition of tangent as well as the picture of a problematic angle in standard position.

Answer 1

They're are holes in the graph of tangent because there are vertical asymptotes. Here's part of your answer:)

Answer 2

lololol thank you.

Answer 3

For some reason my brain is off today.

Answer 4

Based on the definition of tangent, which is

tan(x) = sin(x)/cos(x)

there are vertical asymptotes at points where cos(x) = 0

Answer 5

so because cos(x) = 0 when x = n*pi/2 for any integer n, these are the points where there are vertical asymptotes on tan(x)