Respuesta :

The value of sin D,  sin E , cos D , and cos E in simplest fraction form are as follows:

Sin D = 4 / 5

sin E = 3 / 5

cos D = 3  / 5

cos E = 4 / 5

Trigonometric ratios:

The simplest trigonometric ratios expression are as follows:

  • sin ∅ = opposite / hypotenuse
  • cos ∅ = adjacent / hypotenuse
  • tan ∅ = opposite / adjacent

Therefore,

Sin D = opposite / hypotenuse = 12 / 15 = 4 / 5

sin E = opposite / hypotenuse = 9  / 15 = 3 / 5

cos D = adjacent / hypotenuse = 9 / 15 = 3  / 5

cos E = adjacent / hypotenuse = 12 / 15 = 4 / 5

learn more on right angle triangle here: https://brainly.com/question/1201366?referrer=searchResults

Answer:

The Numbers are rounded btw

Sin D = 28.1   As a fraction 281/10

Cos D = 31.9  As a fraction 319/10​

Cos E = 31.9  As a fraction 319/10​

Step-by-step explanation:

Sin= opposite/ hypotnuse

Con= addjacent/ hypotnuse

if you cant tell which side the hypotnues if on, it is always opposite from the 90 degree mark.

Now that you know how to make the fraction for Sin and Con, you would have to use a graphing calulator, plug in Sin^-1  or Con^-1 what ever the sign is and put the fractions in (  ) next to it and it will give you the decmle. Also using a graphing calculator is 100% allowed in this type of math.