Evaluate the following: i) `sin pi/12` ii) `sin pi/8`, iii) `cos pi/8`, iv) `cos pi/(24`

Evaluate the following: i) `sin pi/12` ii) `sin pi/8`, iii) `cos pi/8`

1.	Evaluate the following: i) `sin pi/12` ii) `sin pi/8`, iii) `cos pi/8`, iv) `cos pi/(24`
Answer» i) `(sqrt(3)-1)/(2sqrt(2)`, ii) `sqrt(2-sqrt(2))/(2)`, iii) `sqrt(2+sqrt(2))` , iv) `sqrt(4+sqrt(6)+sqrt(2))/(8)`