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 45^(\circ) = \sin (\pi)/(4) = \square

1 answer

To complete the equivalence statement:

  1. The degree value is \( 45^\circ \).
  2. The exact value in simplest form for \(\sin(45^\circ)\) or \(\sin\left(\frac{\pi}{4}\right)\) is \(\frac{\sqrt{2}}{2}\).

So, the completed statement is: \(\sin 45^\circ = \sin \frac{\pi}{4} = \frac{\sqrt{2}}{2}\)