Arcsin Calculator(Inverse of Sine)
The easiest process to calculate the inverse of the sine value is by using our arcsin calculator. By using that calculator you will get the answer in split seconds. Just give the inputs in the input fields and click the calculate button.
How to Find Arcsin(Inverse of sine)?
Arcsin is the trigonometric function that gives the value of inverse sine. It can be represented as sin-1(x). Simply, it helps to find the angle of the triangle with the known value of sine.
Let us look into the trigonometric formula of Arcsin,
y = sin(x) | x = arcsin(y)
Here,
arcsin(y) = sin-1(y).
y = angle(a).
Now let us look into the graph of the inverse sine.
Arcsin Graph:
The inverse sine graph forms a curve from (-1, -π/2) to (1, π/2).
Arcsin Table:
The below table shows you the values of sine and inverse sine along with degrees and radians.
x | arcsin(x) in degrees | arcsin(x) in degrees |
-1 | -90° | -π/2 |
-√3/2 | -60° | -π/3 |
-√2/2 | -45° | -π/4 |
-1/2 | -30° | -π/6 |
0 | 0° | 0 |
1/2 | 30° | π/6 |
√2/2 | 45° | π/4 |
√3/2 | 60° | π/3 |
1 | 90° | π/2 |
Steps to Calculate Inverse of Sine
We are providing you with the step-by-step process that calculates the arcsin of an angle.
- Let us note down the value to find as it is already given in the problem.
- After that, apply the formula and take the value from the table.
- Then, after simplification, you will get the value of inverse sine.
Example:
Question: Find the value of Arcsin(1) in radians?
Solution:
Given, Arcsin(1) =?
we know that,
sin(90°) = 1 from the above table.
Apply the formula,
y = sin(x) | x = arcsin(y)
sin(90°) = 1 => 90° = sin -1 (1)
Therefore, Arcsin(1) = 90° = π/2 (in radians).
We have many maths calculators for faster calculations and are provided with detailed concepts. For calculators click on the website onlinecalculator.guide
Frequently Asked Questions On Arcsin Calculator Or Calculator Arcsin
1. How to use inverse of sine calculator?
A simple and easy way to use the arcsin calculator is to give the inputs in the input fields and click on the calculate button and you will see the answers in seconds.
2. What is arcsin in trigonometry?
Arcsin is the inverse trigonometric function and it is the value of inverse sine. It is represented as arcsin(x) (or) sin-1(x).
3. How to calculate arcsin?
Arcsin can be calculated by the formula, x = arcsin(y).
4. What is sin-1(0.5)?
As sin(30°) = 0.5, then sin-1(0.5) = 30°.