Respuesta :

For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.

We must find the [tex]arcsin (\frac {\sqrt {2}} {2})[/tex]. Then, we look for the angle whose sine is [tex]\frac {\sqrt {2}} {2}[/tex].

We have to, by definition:

[tex]Sin (45) = \frac {\sqrt {2}} {2}[/tex]

So, we have to:

[tex]arcsin (\frac {\sqrt {2}} {2}) = 45[/tex]

Answer:

Option B

Answer:

Choice B

Step-by-step explanation:

An option is to find the the square root of 2 in decimals is [tex]\frac{1.414213562}{2} ≈ 0.7071067812[/tex]

Now we can use the arc sine, which is the inverse of a sin.

To do this we must use a scientific calculator. By pressing the arc sin button and entering in 0.7071067812, we can find the arc sin, which is 45°.