Question

Evaluate Sin^-1 sqrt2/2

Answer 1

Explanation:

Let x = arcsin(√2/2).

We have sinx = √2/2, which is a basic trignometry identity. (sin45° = √2/2)

Since the range of arcsinx is [-90°, 90°] and 45° is within the range, the answer is 45° or π/4.