Respuesta :

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