Answer :
Answer in radians = pi/4
Answer in degrees = 45
You could use the unit circle to find this. This could be something you have on a reference sheet or flash card, or its simply something you memorize.
Or you could draw out a 45-45-90 triangle in which the legs are sqrt(2) units long. Through the pythagorean theorem, you should find the hypotenuse is 2 units long. From there, notice that the sine ratio of either acute angle is sqrt(2)/2.
Or you can use a calculator. Many calculators have a button labeled [tex]\sin^{-1}[/tex] or you might have to use the [tex]\arcsin[/tex] function which is the same thing more or less. Either is the inverse of the sine function, so it undoes what the sine function applies.
Answer:
I checked the work and they're correct
Step-by-step explanation: