Question

Let sin(68°) = 0.9272. Enter the angle measure (o), in degrees, for which cos(o) = 0.9272

a) 22°
b) 45°
c) 68°
d) 90°

Answer 1

The angle measure (o), in degrees, for which cos(o) = 0.9272 is 22°.

Step-by-step explanation:

To find the angle measure (o) for which cos(o) = 0.9272, we can use the inverse cosine function, denoted as cos^(-1). Therefore, o = cos^(-1)(0.9272). Using a calculator or mathematical software, we can calculate the value of o by taking the inverse cosine of 0.9272. This gives us o ≈ 22°, which means that the angle measure (o) for which cos(o) = 0.9272 is approximately 22 degrees.

In trigonometry, the cosine function represents the ratio of the adjacent side to the hypotenuse in a right-angled triangle. When the cosine of an angle is given, finding the angle itself involves using the inverse cosine function to solve for the unknown angle. In this case, when cos(o) = 0.9272, we use the inverse cosine function to determine that the angle measure (o) is approximately 22 degrees.

In summary, using the inverse cosine function, we find that the angle measure (o), in degrees, for which cos(o) = 0.9272 is approximately 22°.