Answer:
See below for answers and explanations
Step-by-step explanation:
First, find the missing side using the Pythagorean Theorem:
c²=a²+b²
65²=a²+16²
4225=a²+256
3969=a²
63=a
Therefore:
sinα = opposite/hypotenuse = 63/65
cosα = adjacent/hypotenuse = 16/65
tanα = opposite/adjacent = 63/16
sinβ = opposite/hypotenuse = 16/65
cosβ = adjacent/hypotenuse = 63/65
tanβ = opposite/adjacent = 16/63
