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question 9 of 33 in △def, sin d = 24/26. what is cos e?

Question

question 9 of 33 in △def, sin d = 24/26. what is cos e?

Explanation:

Step1: Recall trigonometric relations in right - triangle

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

Step2: Identify given values

Given that $\sin D = \frac{24}{26}$, and from the right - triangle, $\sin D=\frac{EF}{DE}=\frac{24}{26}$, and $\cos E=\frac{EF}{DE}$.

Answer:

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