Respuesta :

wizard123
7pi/12 > pi/2, This means it is in 2nd quadrant.
For angles in 2nd quadrant, subtract from pi to get reference angle.

pi - 7pi/12 = 5pi/12

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

If we draw the given angle [tex]\frac{7\pi }{12}[/tex], the terminal side will be in second quadrant.

So the reference angle will be the angle between x axis and the terminal side of given angle.

For this, we have to subtract it from [tex]\pi[/tex]

So the reference angle will be : [tex]\pi-\frac{7\pi}{12}[/tex]

making common denominator

reference angle = [tex]\frac{12\pi}{12}-\frac{7\pi}{12}[/tex]

reference angle = [tex]\frac{5\pi}{12}[/tex]    :   Answer

Hope it will help :)

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