To find the value of sin^(-1)(√2/2), we need to find the angle whose sine is (√2/2). In other words, we are looking for an angle θ such that sin(θ) = √2/2.
We know that sin(45°) = √2/2. This means that sin^(-1)(√2/2) = 45°.
In terms of radians, we can also find that sin^(-1)(√2/2) = π/4.
So, sin^(-1)(√2/2) is equal to both 45° and π/4.
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