Question

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. The cosine of the complimentary angle to 58° a. 0.74 c. 0.83 b. 0.85 d. 0.94 Please select the best answer from the choices provided A B C D

Answer 1

Answer:

B) 0.85

Step-by-step explanation:

By definition, complementary angles add to 90 degrees.

The given angle 58 degrees is complementary to 90-58 = 32 degrees. The two angles 58 and 32 add to 90.

Therefore, cos(32) = 0.848 = 0.85

Answer 2

The complementary angle to 58° is 42° and the cosine value of 42° is 0.74.

What is Complementary Angles?

• Two angles are said to be complementary when the sum of those two angles add up to 90°.
• These angles can be adjacent to each other or not.
• For two complementary angles, each angle is a complement of other.

Given: angle 58°.

let the angle complementary to 58° be x.

By the definition of complementary angles, we can write:

⇒ x + 58° = 90°

⇒ x = 90° - 58°

⇒ x = 42°

Therefore, the angle complementary to 58° is 42°.

Now, we have to find the cosine value of 42°.

⇒ cos (42°) = 0.74

Therefore, the cosine value of 42° that is the complementary angle to 58° is 0.74.

Hence, the best answer will be option (A).

Learn more about the Complementary Angles here: https://brainly.com/question/14690981

#SPJ2