Question

Check all that apply. tane is undefined for 9 =

Answer 1

The function tan(x) can be expressed as:

$\tan(x)=\frac{\sin(x)}{\cos(x)}$

so it will be undefined for all values of x where cos(x) = 0.

This values are π/2+kπ where k = 1, 2, 3, 4...

If we only considered one period between 0 and 2π, tan(x) will be undefined for π/2 and 3π/2.

We can check with the graph:

Answer: it is undefined for π/2 and 3π/2 [Options A and B]