Question

use the diagram to complete the statement. given △jkl, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).

Explanation:

Step1: Identify triangle type

△JKL is right-angled at J.

Step2: Note angle measures

∠K=52°, ∠L=38°, right angle at J.

Step3: Recall trigonometric identity

sinθ = cos(90°-θ) for complementary angles.

Step4: Apply identity to 38°

90°-38°=52°, so sin(38°)=cos(52°).

Answer:

B. cos(52°)