Question

Please help me right away.

Answer 1

13. c. -3/5

14. {5/6, 3 1/3, 5 5/6, 8 1/3}

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

see the attachment for the solution from a graphing calculator