Posted by Hannah on .
use the sum and difference identities to find the cosine angle
cos pi/9 cos pi/3  sin pi/9 sin pi/3
I do not know how to solve this because pi/9 is not on the unit circle.

Math 
Reiny,
but it gave you a hint, ...
cos(A+B) = cosAcosB  sinAsinB
does the right side not follow the pattern of your question?
so ...
cos pi/9 cos pi/3  sin pi/9 sin pi/3
= cos(pi/9 + pi/3)
= cos(4pi/9)
You are right, 4pi/9 radians, or 80 degrees, is not one of the standard angles on the unit circle, nor is it obtainable using combinations of our standard angles.