Question

Please help me right away.

Answer 1

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.

$12\tan\left(\dfrac{2\pi}{5}x\right)=12\sqrt{3}\\\\\tan\left(\dfrac{2\pi}{5}x\right)=\sqrt{3} \qquad\text{divide by 12}\\\\\dfrac{2\pi}{5}x=\tan^{-1}{(\sqrt{3})}=\left\{\dfrac{\pi}{3},\dfrac{4\pi}{3},\dfrac{7\pi}{3},\dfrac{10\pi}{3}\right\}\\\\x=\dfrac{5}{2\pi}\left\{\dfrac{\pi}{3},\dfrac{4\pi}{3},\dfrac{7\pi}{3},\dfrac{10\pi}{3}\right\}=\left\{\dfrac{5}{6},\dfrac{10}{3},\dfrac{35}{6},\dfrac{25}{3}\right\}$

see the attachment for the solution from a graphing calculator