9514 1404 393
Answer:
see attached
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and trig functions. The relevant relations here are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
In your diagram, leg 'a' is opposite angle α and adjacent to angle β. Similarly, leg 'b' is opposite angle β and adjacent to angle α. The hypotenuse is 'c' in all cases.
So, filling the table is a matter of identifying adjacent and opposite legs. You will notice that the sine of α is the cosine of β and vice versa.
