Math  /  Trigonometry

QuestionIs cos5π4\cos \frac{5 \pi}{4} positive or negative? positive negative B

Studdy Solution
Determine the sign of the cosine function in the third quadrant. In the unit circle: - Cosine is positive in the first and fourth quadrants. - Cosine is negative in the second and third quadrants.
Since 5π4\frac{5\pi}{4} is in the third quadrant, cos5π4\cos \frac{5\pi}{4} is negative.
The cosine of 5π4\frac{5\pi}{4} is negative\boxed{\text{negative}}.

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