Respuesta :

To convert radians to degrees, You replace π with 180 and solve from there.

The value of  [tex]\frac{\pi}{2}[/tex] radians to degrees is 90 degrees

  • The question bothers on the conversion of radians to degrees.

  • Since we are not given the exact radian value to convert, we can assume the value of [tex]\frac{\pi}{2}[/tex] radians.

Using the conversion factor:

[tex]\pi rad = 180 ^0[/tex]

To convert [tex]\frac{\pi}{2}[/tex] radians to degrees, we will write:

[tex]\frac{\pi}{2}[/tex] radians = x

Divide both expressions:

[tex]\frac{\pi}{\frac{\pi}{2} } =\frac{180}{x} \\\frac{2\pi}{\pi} = \frac{180}{x} \\2=\frac{180}{x} \\2x = 180\\x =180/2\\x = 90^0[/tex]

Hence the value of  [tex]\frac{\pi}{2}[/tex] radians to degrees is 90 degrees

Learn more on conversion here: https://brainly.com/question/12939121