Question

If cos θ = 8/17 and 3π/2 < θ < 2π, compute sin θ and cot θ.

1) sin θ=


2) cot θ=

Answer 1

\[\sf \text{SOHCAHTOA} \implies \cos(\theta) =\frac{adj}{hyp}\]

Answer 2

therefore \(\sf \sin(\theta) = \dfrac{opp}{hyp}\)

Answer 3

We can figure out the opposite side by using pythagorean theorem: \(y^2 = 17^2-8^2\)

Answer 4

\[y= \sqrt{17^2-8^2}\]

Answer 5

So therefore, \(\sin(\theta) = \frac{y}{17}\)

Answer 6

It has to be an exact answer, it won't accept square roots.

Answer 7

You didn't even solve for it.

Answer 8

the square root IS the exact answer

Answer 9

gotta go.

Answer 10

Oh wait, I got it, thank you.