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The terminal side of an angle θ in standard position intersects the unit circle at –3537,–1237. What is cos(θ)?Write your answer in simplified, rationalized form.

Question

The terminal side of an angle θ in standard position intersects the unit circle at –3537,–1237. What is cos(θ)?Write your answer in simplified, rationalized form.

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Solution

The cosine of an angle θ in standard position is given by the x-coordinate of the point where the terminal side of the angle intersects the unit circle.

In this case, the x-coordinate of the point is -35/37.

Therefore, cos(θ) = -35/37.

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