Question

question 31 of 40
in △def, sin d = 24/26. what is cos e?
a. 24/26
b. 10/24
c. 10/26
d. 26/10

Explanation:

Step1: Recall trigonometric identity

In right - triangle $\triangle DEF$ with right - angle at $F$, $\sin D=\frac{EF}{DE}=\frac{24}{26}$.

Step2: Use co - function identity

Since $\angle D+\angle E = 90^{\circ}$, $\cos E=\sin D$. So $\cos E=\frac{24}{26}$.

Answer:

A. $\frac{24}{26}$