use a calculator to find the value of the trigonometric function to four\n\ncos\\(\\frac{\\pi}{15}\\)\n\n\\(\…

use a calculator to find the value of the trigonometric function to four\n\ncos\\(\\frac{\\pi}{15}\\)\n\n\\(\\cos\\frac{\\pi}{15}\\approx\\square\\) (round your answer to four decimal places.)

use a calculator to find the value of the trigonometric function to four\n\ncos\\(\\frac{\\pi}{15}\\)\n\n\\(\\cos\\frac{\\pi}{15}\\approx\\square\\) (round your answer to four decimal places.)

Answer

Explanation:

Step1: Convert the angle to degrees

Since ( \frac{\pi}{15}\times\frac{180^{\circ}}{\pi}=12^{\circ})

Step2: Calculate using calculator

Using a calculator in degree mode, ( \cos(12^{\circ})\approx0.9781)

Answer:

(0.9781)