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