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The terminal side of an angle θ\theta in standard position intersects the unit circle at (8485,1385)(\frac{84}{85}, \frac{13}{85}). What is cos⁡(θ)\cos(\theta)?\newlineWrite your answer in simplified, rationalized form.\newline______

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Find trigonometric ratios using the unit circleright chevron icon

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Q. The terminal side of an angle θ\theta in standard position intersects the unit circle at (8485,1385)(\frac{84}{85}, \frac{13}{85}). What is cos⁡(θ)\cos(\theta)?\newlineWrite your answer in simplified, rationalized form.\newline______
  1. Unit Circle Explanation: On the unit circle, the xx-coordinate is the cosine of the angle, so cos⁡(θ)\cos(\theta) is the xx-coordinate of the point where the terminal side of the angle intersects the unit circle.
  2. Given Point Coordinates: The given point is (8485,1385)(\frac{84}{85}, \frac{13}{85}), so cos⁡(θ)=8485\cos(\theta) = \frac{84}{85}.

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