Question

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

Explanation:

Step1: Recall the co - function identity

The co - function identity states that \(\sin\theta=\cos(90^{\circ}-\theta)\).

Step2: Apply the identity

If \(\theta = 38^{\circ}\), then \(90^{\circ}-\theta=90^{\circ}-38^{\circ} = 52^{\circ}\). So, \(\sin(38^{\circ})=\cos(52^{\circ})\).

Answer:

\(\cos(52^{\circ})\)