Using the sine and cosine ratios, the true statement is: D. sin(J) = cos(L).
Sine ratio: sin ∅ = opp/hyp.
Cosine ratio: cos ∅ = adj/hyp.
In the image given, find sin(J) using the sine ratio:
∅ = J
Opposite = KL = √(219² - 178²) = 127.6 [Pythagorean theorem]
Hypotenuse = LJ = 219
Sin(J) = 127.6/219
Find cos(L) using the cosine ratio:
∅ = L
Adj = KL = 127.6
Hypotenuse = LJ = 219
Cos(L) = 127.6/219
Therefore, the true statement is: D. sin(J) = cos(L).
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