Respuesta :

Answer:

B) 24/26

Step-by-step explanation:

The ratio of sine is opposite/hypotenuse.  This means the side opposite angle D, EF, has length 24 and the hypotenuse, DE, has length 26.

The ratio of cosine is adjacent/hypotenuse.  For cos E, we want the side adjacent to E (EF) and the hypotenuse (DE).  Using these, we have the ratio 24/26.

In DEF, sin D= 24/26  , then cos E = 24/ 26. Option B) 24/26 is correct.

What are trigonometric ratios ?

Trigonometric ratios are defined as the sides and angles of a right-angled triangle are deal with in Trigonometry.

We have,

In DEF sin D= 24/26

Using Pythagoras Theorem,

[tex]P^2 + B^2 = H^2\\\\EF^2 +FD^2 = EF^2\\\\24^2 + FD^2 = 26^2\\\\FD^2 = 676 - 576\\\\FD^2 = 100\\\\FD = 10[/tex]

But, cos E = EF / ED

cos E = 24/ 26

Hence, we can say that In DEF, sin D= 24/26  , then cos E = 24/ 26.

To know more about Trigonometric ratios click here;

brainly.com/question/13724581

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