Question

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

Explanation:

Step1: Recall co-function identity

For complementary angles $\alpha$ and $\beta$ where $\alpha + \beta = 90^\circ$, $\sin(\alpha) = \cos(\beta)$.

Step2: Identify complementary angle

$38^\circ + 52^\circ = 90^\circ$, so $52^\circ$ is complementary to $38^\circ$.

Step3: Apply identity to the angle

$\sin(38^\circ) = \cos(52^\circ)$

Answer:

cos(52°)