Question

Check all that apply. tan(theta) is undefined for theta=_____.

A. 3pi/2

B. pi/2

C. 0

D. pi

Answer 1

We need to recall that tan(x) = sin(x)/cos(x)
tan(x) is undefinex where cos(x)=0
To answer the question we need to find those x where cos(x)=0
cos(3pi/2)= 0
cos(0)=1
cos(pi/2)=0
cos(pi)=-1

The values for this question are 3pi/2 and pi/2. But for every value that is equal to kpi/2 where k is an even number cos(kpi/2) will be equal to 0;