Answer:
13. c. -3/5
14. {5/6, 3 1/3, 5 5/6, 8 1/3}
Step-by-step explanation:
13. The sine is the ratio of the y-coordinate to the distance from the point to the origin. That distance is 5, and the y-coordinate is -3, so the sine is ...
sin(θ) = -3/5
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14.
[tex]12\tan\left(\dfrac{2\pi}{5}x\right)=12\sqrt{3}\\\\\tan\left(\dfrac{2\pi}{5}x\right)=\sqrt{3} \qquad\text{divide by 12}\\\\\dfrac{2\pi}{5}x=\tan^{-1}{(\sqrt{3})}=\left\{\dfrac{\pi}{3},\dfrac{4\pi}{3},\dfrac{7\pi}{3},\dfrac{10\pi}{3}\right\}\\\\x=\dfrac{5}{2\pi}\left\{\dfrac{\pi}{3},\dfrac{4\pi}{3},\dfrac{7\pi}{3},\dfrac{10\pi}{3}\right\}=\left\{\dfrac{5}{6},\dfrac{10}{3},\dfrac{35}{6},\dfrac{25}{3}\right\}[/tex]
see the attachment for the solution from a graphing calculator
