Question

s = 67
(round to four decimal places as needed.)
sin s =
(round to four decimal places as needed.)
cos s =
base on the values of sin s and cos s, in which quadrant is an angle of s radians located?
a. quadrant iv
b. quadrant ii
c. quadrant i
d. quadrant iii

Explanation:

Step1: Calculate sin(67)

Using a calculator, make sure it's in radian mode. $ \sin(67) \approx -0.8555 $ (rounded to four decimal places).

Step2: Calculate cos(67)

Using a calculator in radian mode, $ \cos(67) \approx -0.5173 $ (rounded to four decimal places).

Step3: Determine the quadrant

In Quadrant III, both sine and cosine are negative. Since $ \sin(67) \approx -0.8555 $ (negative) and $ \cos(67) \approx -0.5173 $ (negative), the angle is in Quadrant III.

Answer:

$ \sin s \approx -0.8555 $, $ \cos s \approx -0.5173 $, and the angle is in Quadrant III (Option D).