Question

Evaluate sin^-1 square root of 2/2

Answer 1

I checked the work and they're correct

Explanation:

Answer 2

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
`\sin^(-1)` or you might have to use the
`\arcsin` 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.