The terminal side of an angle alpha in standard position intersects the unit circle at left(-frac{sqrt{2}}{3}, frac{sqrt{7}}{3}right). Find cos alpha

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Accepted Answer

Step:1 ：The terminal side of an angle (alpha) in standard position intersects the unit circle at (left(-frac{sqrt{2}}{3}, frac{sqrt{7}}{3}right)).Step:2 ：The x-coordinate of the point where the terminal side of the angle intersects the unit circle is equal to (cos alpha).Step:3 ：So, (cos alpha = -frac{sqrt{2}}{3}).Step:4 ：(boxed{-frac{sqrt{2}}{3}}) is the final answer.

Answer

Step: 1 ：The terminal side of an angle (alpha) in standard position intersects the unit circle at (left(-frac{sqrt{2}}{3}, frac{sqrt{7}}{3}right)).Step: 2 ：The x-coordinate of the point where the terminal side of the angle intersects the unit circle is equal to (cos alpha).Step: 3 ：So, (cos alpha = -frac{sqrt{2}}{3}).Step: 4 ：(boxed{-frac{sqrt{2}}{3}}) is the final answer.

The terminal side of an angle $α$ in standard position intersects the unit circle at $(- \frac{\sqrt{2}}{3}, \frac{\sqrt{7}}{3})$ . Find $\cos α$

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Popular Problems

The terminal side of an angle α in standard position intersects the unit circle at (−23,73). Find cos⁡α

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Popular Problems

The terminal side of an angle $α$ in standard position intersects the unit circle at $(- \frac{\sqrt{2}}{3}, \frac{\sqrt{7}}{3})$ . Find $\cos α$