Answer
$sin~θ=\frac{9}{41}$
$cos~θ=\frac{40}{41}$
$tan~θ=\frac{9}{40}$
$csc~θ=\frac{41}{9}$
$sec~θ=\frac{41}{40}$
$cot~θ=\frac{40}{9}$
Work Step by Step
First, let's evaluate the side adjacent to $θ$:
$(hyp)^2=(opp)^2+(adj)^2$
$41^2=9^2+(adj)^2$
$1681-81=(adj)^2$
$1600=(adj)^2$
$adj=40$
$sin~θ=\frac{opp}{hyp}=\frac{9}{41}$
$cos~θ=\frac{adj}{hyp}=\frac{40}{41}$
$tan~θ=\frac{opp}{adj}=\frac{9}{40}$
$csc~θ=\frac{hyp}{opp}=\frac{41}{9}$
$sec~θ=\frac{hyp}{adj}=\frac{41}{40}$
$cot~θ=\frac{adj}{opp}=\frac{40}{9}$
