Question

Find the value of the trig functions indicated .

A)3/4
B)5/3
C)4/5
D)3/5
(Must include work ) help pls

Answer 1

The choice; B) 5/3

Explanation:

`{a}^(2) + {b}^(2) = {c}^(2) \\ {15}^(2) + {20}^(2) = {c}^(2) \\ 225 + 400 = {c}^(2) \\ {c}^(2) = 625 \\ c = 25`

`\sec(θ) = (1)/( \cos(θ) ) \\ \\ \sec(θ) = (1)/( (adjacent)/(hypotenuse) ) = (hypotenuse)/(adjacent) \\ \\ \sec(θ) = (25)/(15) = (25 / 5)/(15/ 5) = (5)/(3)`