Evaluate arcsin(0.6)

Problem

arcsin(0.6)

Solution

1. Identify the expression as the inverse sine of 0.6 which represents the angle θ such that sin(θ)=0.6 within the range [−π/2,π/2]

2. Recognize that 0.6 is equivalent to the fraction 3/5

3. Use a calculator or trigonometric tables to find the numerical value in radians, as 0.6 is not a standard value from the unit circle.

4. Calculate the value to several decimal places.

arcsin(0.6)≈0.64350110879* radians

5. Convert to degrees if necessary by multiplying by 180/π

θ≈36.8698976458

Final Answer

arcsin(0.6)≈0.6435

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