1. What is Arcsin Function?

The arcsin function (also called inverse sine) is the inverse of the sine function. It returns the angle whose sine is a given number. The output is typically in radians or degrees.

2. How Does the Calculator Work?

The calculator uses the mathematical function:

Where:

• \( x \) — Input value between -1 and 1
• \( \theta \) — Resulting angle in radians

Explanation: The calculator computes the inverse sine of the input value and provides results in both radians and degrees.

3. Importance of Arcsin Calculation

Details: Arcsin calculations are essential in trigonometry, geometry, physics, engineering, and computer graphics for determining angles from sine values.

4. Using the Calculator

Tips: Enter a value between -1 and 1. The calculator will compute the corresponding angle in both radians and degrees.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of arcsin function?
A: The arcsin function returns values in the range [-π/2, π/2] radians or [-90°, 90°].

Q2: Why must the input be between -1 and 1?
A: Since sine values are always between -1 and 1, the arcsin function is only defined for inputs in this range.

Q3: What's the difference between radians and degrees?
A: Radians and degrees are two different units for measuring angles. 180 degrees equals π radians.

Q4: Can arcsin be used for right triangles?
A: Yes, arcsin is commonly used to find angles in right triangles when the opposite side and hypotenuse are known.

Q5: Are there other inverse trigonometric functions?
A: Yes, other inverse trigonometric functions include arccos (inverse cosine) and arctan (inverse tangent).