1. What is Sin Inverse (arcsin)?

The sin inverse function (arcsin) is the inverse of the sine function. It returns the angle whose sine is the given number. The output range is [-π/2, π/2] radians or [-90°, 90°] degrees.

2. How Does the Calculator Work?

The calculator uses the mathematical function:

Where:

• \( x \) — Input value between -1 and 1
• Output — Angle in radians or degrees

Explanation: The function calculates the principal value of the angle whose sine is the input value.

3. Important Notes

Details: The input must be between -1 and 1 (inclusive) because the sine of any angle always falls in this range.

4. Using the Calculator

Tips: Enter a value between -1 and 1, select your preferred output unit (radians or degrees), and click Calculate.

5. Frequently Asked Questions (FAQ)

Q1: Why is my input limited to -1 to 1?
A: The sine function only produces values between -1 and 1, so its inverse is only defined for this range.

Q2: What's the difference between radians and degrees?
A: Radians and degrees are different units for measuring angles. 1 radian ≈ 57.2958 degrees, and 2π radians = 360 degrees.

Q3: What is the range of the output?
A: The output range is -π/2 to π/2 radians (-90° to 90°), as this is the principal value range for arcsin.

Q4: Can I calculate arcsin for complex numbers?
A: This calculator only handles real numbers. Complex number calculations would require advanced mathematical functions.

Q5: How precise are the results?
A: Results are calculated to 6 decimal places for both radians and degrees.