Answer:
cos(F) = 40/41
sin(G) = 40/41
Explanation:
The mnemonic SOH CAH TOA reminds you that ...
... Sin = Opposite/Hypotenuse
... Cos = Adjacent/Hypotenuse
In your triangle 41 is the hypotenuse, so these two ratios are appropriate ones to use. The side of length 40 is adjacent to angle F, so
... cos(F) = 40/41
and the side of length 40 is opposite angle G, so
... sin(G) = 40/41