1. What is Inverse Sine?

The inverse sine function (arcsin or sin⁻¹) returns the angle whose sine is a given number. This calculator provides the result in degrees.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — Angle in degrees
• \( x \) — Input value between -1 and 1
• \( \pi \) — Mathematical constant pi (~3.14159)

Explanation: The calculator first computes the arcsine in radians, then converts the result to degrees by multiplying by 180/π.

3. Important Notes

Details: The arcsine function is only defined for input values between -1 and 1 inclusive. The output range is -90° to 90° (-π/2 to π/2 radians).

4. Using the Calculator

Tips: Enter any value between -1 and 1. The result will be in degrees. For values outside [-1, 1], the calculator will not return a valid result.

5. Frequently Asked Questions (FAQ)

Q1: Why does my calculator give different results?
A: Some calculators use different rounding methods or might be set to radians mode. This calculator always returns degrees.

Q2: What's the difference between arcsin and sin⁻¹?
A: They are two notations for the same inverse sine function.

Q3: Can I calculate arcsine for values outside [-1, 1]?
A: No, the sine function only outputs values between -1 and 1, so its inverse is only defined for inputs in that range.

Q4: How precise are the results?
A: Results are accurate to 4 decimal places, limited by floating-point precision.

Q5: What are common applications of arcsine?
A: Used in trigonometry, physics (wave analysis), engineering, and anywhere angles need to be determined from sine values.