In order to solve the following tutorial sheet, it helps to solve/understand and then apply the following beautiful cyclic relations or identities:
(Note if these look new to you, then you need to check the truth of all them; if all are v v familiar to you, just go ahead and crack the tutorial sheet below):
Core Identities in Cyclic Expressions:
1)
2)
3)
4)
5)
Solve or simplify the following:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17) ^
18)
19)
More later,
Nalin Pithwa