Write the ratios for sin D and cosD for right triangle DEF, with sides 18,16, and 8.

Answer 1

To find the ratios for sin D and cos D in right triangle DEF with sides 18, 16, and 8, we first need to find the lengths of the sides relative to angle D.

Using the Pythagorean theorem, we can determine that side EF (opposite angle D) is 16 and side DE (adjacent to angle D) is 8.

Therefore, sin D = opposite/hypotenuse = 16/18 = 8/9
and cos D = adjacent/hypotenuse = 8/18 = 4/9

So, the ratios for sin D and cos D in triangle DEF are sin D = 8/9 and cos D = 4/9.