Evaluate arcsin(0.7)

Problem

arcsin(0.7)

Solution

1. Identify the expression as the inverse sine of 0.7 which represents the angle θ such that sin(θ)=0.7 within the range [−π/2,π/2]

2. Recognize that 0.7 is not a standard value from the unit circle (like 0.5 or √(,2)/2, so a calculator or numerical method is required for an approximation.

3. Calculate the value in radians using the inverse sine function.

4. Convert the result to degrees if necessary by multiplying the radian value by 180/π

Final Answer

arcsin(0.7)≈0.775398

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