Find the exact value.

Question

Tan(8pi)=

Answer 1

tan(8pi) = sin(8pi)/cos(8pi)

 

For n=0, 1 ,2 , 3 ..., we have:

 

sin(n*2pi) = 0

cos(n*2pi) = 1

 

In this problem, n=4.  So:

 

tan(8pi) = sin(8pi)/cos(8pi) = 0/1 = 0