Complete the equivalence statement below. For the first response enter a degree value. For the second response enter an exact value in simplest form.(1 point)

sin___ Degrees =sin pi/4=__

1 answer

To complete the equivalence statement:

  1. The angle that corresponds to \(\frac{\pi}{4}\) radians in degrees is \(45\) degrees.
  2. The value of \(\sin\left(\frac{\pi}{4}\right)\) in simplest form is \(\frac{\sqrt{2}}{2}\).

So the completed statement is:

sin 45 Degrees = sin \(\frac{\sqrt{2}}{2}\).