The equation that correctly represents the use of the law of cosines is [tex]y^2 = 9^2 + 19^2 - 2(9)(19)\cos(41)[/tex]
The law of cosine in a triangle is represented as:
[tex]a^2 = b^2 + c^2 - 2bc\cos(A)[/tex]
From the complete question, we have:
a = y
b = 9
c =19
Angle A = 41 degrees
Substitute known values in the equation of the law of cosines.
So, we have:
[tex]y^2 = 9^2 + 19^2 - 2(9)(19)\cos(41)[/tex]
Hence, the equation that correctly represents the use of the law of cosines is [tex]y^2 = 9^2 + 19^2 - 2(9)(19)\cos(41)[/tex]
Read more about law of cosines at:
https://brainly.com/question/4372174
