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Question If the terminal side of angle t goes through the point (-(5)/(13),-(12)/(13)) on the unit circle, then what is cos(t) ?

Question\newlineIf the terminal side of angle t t goes through the point (−513,−1213) \left(-\frac{5}{13},-\frac{12}{13}\right) on the unit circle, then what is cos⁡(t) \cos (t) ?

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Q. Question\newlineIf the terminal side of angle t t goes through the point (−513,−1213) \left(-\frac{5}{13},-\frac{12}{13}\right) on the unit circle, then what is cos⁡(t) \cos (t) ?
  1. Determine Coordinate: Determine the coordinate on the unit circle for angle tt. The coordinates on the unit circle are (cos⁡(t),sin⁡(t))(\cos(t), \sin(t)).
  2. Compare Coordinates: Compare (cos⁡(t),sin⁡(t))(\cos(t), \sin(t)) with (−513,−1213)(-\frac{5}{13}, -\frac{12}{13}) to find cos⁡(t)\cos(t). The x-coordinate of the given point represents cos⁡(t)\cos(t). Therefore, cos⁡(t)=−513\cos(t) = -\frac{5}{13}.

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