Express cos(27pi/8) as a trigonometric function of an angle in Quadrant I.

Mathematics

2 answers:

Ann [662]4 years ago

8 0

Answer:

c on edgen

Step-by-step explanation:

Kryger [21]4 years ago

3 0

Answer:

The equivalent trigonometric ratio in Quadrant I is $-\cos (\frac{3\pi}{8})$

Step-by-step explanation:

The terminal side of $\frac{27\pi}{8}$ is in the 3rd quadrant.

The principal angle is $\frac{3\pi}{8}$

In other words, the terminal side of $\frac{27\pi}{8}$ makes an acute angle of $\frac{3\pi}{8}$ radian with the positive x-axis. Acute angles are in the first quadrant.

Since the cosine ratio is negative in the 3rd quadrant,

$\cos (\frac{27\pi}{8})=-\cos (\frac{3\pi}{8})$

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