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
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
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