Question

How do you calculate `arcsin(sqrt(2) / 2)`?

Answer 1

Calculate `arcsin (sqrt2/2)`

Ans: `pi/4 and (3pi)/4`

Explanation:

Trig Table of Special Arcs -->
`sin x = sqrt2/2` --> arc `x = pi/4`, or `45^@`
Trig unit circle gives another arc that has the same sin value -->
`x = pi - pi/4 = (3pi)/4, or 135^@`