Answer:
The correct option is C.
Step-by-step explanation:
Given information: In DEF, sin D= 36/39.
In a right angled triangle,
[tex]\sin \theta=\frac{perpendicular}{hypotenuse}[/tex]
[tex]\sin D=\frac{EF}{DE}[/tex]
[tex]\frac{36}{39}=\frac{EF}{39}[/tex]
[tex]EF=36[/tex]
[tex]\cos \theta=\frac{base}{hypotenuse}[/tex]
[tex]\cos E=\frac{EF}{DE}[/tex]
[tex]\cos E=\frac{36}{39}[/tex]
The value of cos E is [tex]\frac{36}{39}[/tex]. Therefore the correct option is C.
