The calculated values of sin D, sin E, cos D, and cos E are cosD = sinE = 9/15 and cosE = sinD = 12/15
How to determine the values of sin D, sin E, cos D, and cos E
From the question, we have the following parameters that can be used in our computation:
The right triangle
Where, we have
Hypotenuse = 15
Opposite = 12 or 9
Adjacent = 9 or 12
Using the above as a guide, we have the following:
sinE = Opposite/Hypotenuse
sinE = 9/15
This also means that
cosD = sinE = 9/15
Next, we have
sinD = Opposite/Hypotenuse
sin D = 12/15
This also means that
cosE = sinD = 12/15
Hence, the value of cosE and sinD are equal to 12/15