## Algebra and Trigonometry 10th Edition

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