Arcsin Calculator

How to Calculate or Solve Arcsin (Inverse Sine)

The arcsin (also known as the inverse sine or sin^-1) is the inverse function of the sine function. It returns the angle whose sine is a given number.

Formula:

arcsin(x) = θ where -1 ≤ x ≤ 1, and θ is the angle whose sine is x.

In other words, if sin(θ) = x, then arcsin(x) = θ. This means that arcsin is the function that undoes the sine operation.

Steps:

1. Identify the value for which you want to calculate the arcsin.
2. Ensure that the value is between -1 and 1, as sine can only have values within this range.
3. Use a calculator or a programming tool to compute the arcsin value in radians or degrees.

Example:

If you want to find arcsin(0.5), you are looking for the angle whose sine is 0.5.

arcsin(0.5) = 30° or π/6 radians

Key Points:

• The result of an arcsin calculation is an angle, measured in either radians or degrees.
• Arcsin only works for values between -1 and 1.
• In radians, the result will be between -π/2 and π/2.
• In degrees, the result will be between -90° and 90°.