The correct expressions are sinC = 12/25.5 = 24/51, <A = 62 degrees and tan A = 1.875
SOH CAH TOA identity
The given figure is a right triangle with legs 12.0 and 22.5cm and the hypotenuse 25.5cm
For sinA, <A is the reference angle, hence the opposite side will be 22.5cm
sin A = opp/hyp
sinA = 22.5/25.5
For cos C, the adjacent side will be 22.5cm, hence the measure of cos C is 22.5/25.5
cosC = 22.5/25.5
Similarly, sinC = 12/25.5 = 24/51
<A = 180-(90 +38)
<A =180 - 128
<A = 62 degrees
tan A = opp/adj
tan A = 22.5/12 = 1.875
tan C = 12/22.5
tan C = 0.533
Hence the correct expressions are sinC = 12/25.5 = 24/51, <A = 62 degrees and tan A = 1.875
Learn more on right triangles here: https://brainly.com/question/2217700
#SPJ1
