1. What is Inverse Sine (Degrees)?

The inverse sine function (arcsin) returns the angle whose sine is the given number. This calculator provides the result in degrees, which is often more intuitive than radians for many practical applications.

2. How Does the Calculator Work?

The calculator uses the inverse sine 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. Applications of Inverse Sine

Details: Inverse sine calculations are used in trigonometry, physics, engineering, and computer graphics for determining angles from known sine values.

4. Using the Calculator

Tips: Enter a value between -1 and 1. The result will be an angle between -90° and 90°. Values outside this range will be invalid.

5. Frequently Asked Questions (FAQ)

Q1: Why does the input need to be between -1 and 1?
A: The sine function only produces values between -1 and 1, so its inverse is only defined for inputs in this range.

Q2: How is this different from inverse sine in radians?
A: The mathematical function typically returns radians. This calculator converts the result to degrees for easier interpretation.

Q3: What's the range of possible outputs?
A: The output will always be between -90° and 90° (-π/2 to π/2 radians).

Q4: Can I use this for complex numbers?
A: No, this calculator only handles real numbers between -1 and 1.

Q5: How precise are the calculations?
A: The calculator uses PHP's built-in mathematical functions which provide high precision (about 14 decimal digits).