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 38°
a. 0.68
b. -0.16
C. -0.22
d. 0.62

Answer 1

The cosine of the complementary angle to 38° is 0.62. Answer: d

Step-by-step explanation:

Complementary Angle

Two angles x and y are complementary if

x+y=90°

The complementary angle of 38° is 90°-38°= 52°

Now use a calculator to find the approximate value of

`\cos 52^\circ \approx 0.61566`

Rounding to two decimal places:

`\cos 52^\circ \approx 0.62`

a. Incorrect. The cosine of 52° is not 0.68

b. Incorrect. The cosine of 52° is not -0.16

c. Incorrect. The cosine of 52° is not -0.22

d. Correct. The cosine of 52° is 0.62 to two decimal places.