## anonymous one year ago If cos θ = 8/17 and 3π/2 < θ < 2π, compute sin θ and cot θ. 1) sin θ= 2) cot θ=

1. Jhannybean

|dw:1442453964569:dw|

2. Jhannybean

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

3. Jhannybean

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

4. Jhannybean

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

5. Jhannybean

$y= \sqrt{17^2-8^2}$

6. Jhannybean

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

7. anonymous

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

8. Jhannybean

You didn't even solve for it.

9. anonymous

the square root IS the exact answer

10. Jhannybean

gotta go.

11. anonymous

Oh wait, I got it, thank you.