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What is the value of arcsin(sqrt(2)/2)?

a) π/4
b) π/3
c) π/6
d) π/2

User Roukmoute
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1 Answer

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Final answer:

The value of arcsin(sqrt(2)/2) is π/4 or 45 degrees as it corresponds to the sine of a 45-degree angle in a right-angled triangle.

Step-by-step explanation:

The value of arcsin(√2/2) corresponds to the angle in a right-angled triangle whose opposite side is equal to the square root of 2 divided by 2 and whose hypotenuse is 1. This ratio corresponds to the sine of the angle π/4 or 45 degrees, which is a commonly known value in trigonometry. Therefore, the correct answer is a) π/4.

User Vreyespue
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