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If the terminal side of an angle θ intersects the unit circle at (\(\frac{5}{13}\), \(\frac{12}{13}\)),...

1. If the terminal side of an angle θ intersects the unit circle at (\(\frac{5}{13}\), \(\frac{12}{13}\)), what is cos(θ)?
a. \(\frac{5}{13}\)
b. \(\frac{12}{13}\)
c. \(\frac{12}{5}\)
d. \(\frac{5}{12}\)
2. If the terminal side of an angle θ intersects the unit circle at (\(\frac{\sqrt{3}}{2}\), \(\frac{1}{2}\)), what is cos(θ)?
a. \(\frac{\sqrt{3}}{2}\)
b. \(\frac{\sqrt{3}}{3}\)
c. \(\sqrt{3}\)
d. \(\frac{1}{2}\)

Answer

  1. The cosine of angle θ is the x-coordinate of the point where the terminal side intersects the unit circle. Therefore, cos(θ) = \(\frac{5}{13}\).

  2. The cosine of angle θ is the x-coordinate of the point where the terminal side intersects the unit circle. Therefore, cos(θ) = \(\frac{\sqrt{3}}{2}\).

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