Respuesta :

If the sin A = 8/9 then
Angle A = arc sine (8/9) =
62.734 Degrees

Angle B is the complement of Angle A and equals
90 -62.734 Degrees =
27.266 Degrees

cosine (
27.266 ) = 0.88889
 

The measure of cos B if A and B are complementary is 0.89

What are complementary angles?

Complementary angles are angles that has a sum of 90 degrees

Given the following trigonometry

sin A = 8/9 then

Determine the measure of angle A

m<A = arcsin (8/9)

m<A = 62.7 degrees

If the angle B is the complement of angle A, hence;

<B = 90 - m<A

m<B = 90 - 62.7

m<B = 27.3 degrees

Determine the measure of cosB

cosB = cos27.3

cosB = 0.89

Hence the measure of cos B if A and B are complementary is 0.89

Learn more on complementary angles here: https://brainly.com/question/16281260

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