Respuesta :

Answer:

It is the 4th one

Step-by-step explanation:

The required value Sine (7pi/12) [tex]=\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]. Option d is correct.

Value of Sine (7pi/12) to be evaluate.

What is simplification?

It is to operate and interpret the function to make function simple or more understandable called simplification.

Here,

[tex]=sin(7\pi /12)\\=sin(105)\\=sin(60+45)\\= sin60cos45+cos45sin60\\=\sqrt{3} /2 *1/\sqrt{2} +1/\sqrt{2} *1/2\\\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

Thus, the required value Sine (7pi/12) [tex]=\frac{\sqrt{6} +\sqrt{2} }{4}[/tex].

Learn more about simplification here: https://brainly.com/question/12501526

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