Question

If sinx is approximately 0.2588, what is the measurement of x to the nearest degree? Approximately, what is the cosine of the angle that is complementary to x? A) 15°; 0.2588 B) 15°; 0.9659 C) 75°; 0.2588 D) 75°; 0.9659

Answer 1

A

Explanation:

given sin x ≈ 0.2588, then

x =
`sin^(-1)`(0.2588) ≈ 15°

using the cofunction identity

cos x = sin(90 - x)

the complement of 15° is 90° - 15° = 75°, hence

cos 75° = sin(90 - 75)° = sin15° ≈ 0.2588