Respuesta :

Answer: A. SQRT2 (SQRT3 -1) / 4

explanation:

Just took the quiz on A P E X.

The value of given function [tex]sin(\frac{5\pi}{12} )[/tex] is approx. 0.97

Option C is correct.

Trigonometric function:

The given trigonometric function is,

                              [tex]sin(\frac{5\pi}{12} )[/tex]

first we have to convert given angle into degree.

                      [tex]\frac{5\pi}{12}=\frac{5}{12}*180=75[/tex]

So that,

        [tex]sin(\frac{5\pi}{12} )=sin(75)=0.9659[/tex]

Hence, the value of given function [tex]sin(\frac{5\pi}{12} )[/tex] is approx. 0.97

Learn more about the trigonometric function here:

https://brainly.com/question/24349828