Arcsine Calculator

arcsin    

y=arcsin(x) Graph

Y
(Degrees)
Y
(Radian)
X
90 ̊ π/2 1
60 ̊ π/3 0.866025
45 ̊ π/4 0.707107
30 ̊ π/6 0.5
0 ̊ 0 0
-30 ̊ -π/6 -0.5
-45 ̊ -π/4 -0.707107
-60 ̊ -π/3 -0.866025
-90 ̊ -π/2 -1

An Arcsine Calculator is a tool used to find the inverse sine (also called arcsin or sin⁻¹) of a given number. It helps determine the angle whose sine value is known.

What is Arcsine?

Arcsine (denoted as sin⁻¹(x) or asin(x)) is the inverse function of the sine function. This means that if:

sin⁡(θ)=x

then,

θ=sin⁡−1(x)

where θ is the angle (in degrees or radians) whose sine is x.

Why Use an Arcsine Calculator?

  • To find angles in trigonometry, physics, and engineering problems.
  • Useful in right triangle calculations (e.g., if you know the opposite side and hypotenuse, you can find the angle).
  • Helps in wave analysis, navigation, and signal processing.

How to Use an Arcsine Calculator

  1. Enter a value for x (between -1 and 1).
  2. The calculator computes the angle θ in degrees or radians.
  3. The result is typically within the principal range:

When to Use It?

  • When solving right triangles.
  • In physics problems involving oscillations or circular motion.
  • In computer graphics and animations for angle calculations.
  • For solving equations involving the sine function.