Inverse Functions Android Calculator
Introduction & Importance
Inverse functions for Android are crucial in various applications, from game development to sensor calibration. They allow you to find the original input (x) given an output (f(x)).
How to Use This Calculator
- Enter the output value (f(x)) in the ‘x’ field.
- Select the corresponding inverse function (sin, cos, tan) from the dropdown.
- Click ‘Calculate’.
Formula & Methodology
The inverse functions are calculated using the following formulas:
- sin-1(x) = arcsin(x)
- cos-1(x) = arccos(x)
- tan-1(x) = arctan(x)
Real-World Examples
Example 1
If the output of a sensor is sin(π/4) = √2/2, what was the original input angle (x)?
Using our calculator, we find x = π/4.
Data & Statistics
| Function | Range | Domain |
|---|---|---|
| sin-1(x) | [-1, 1] | [0, π] |
Expert Tips
- Always ensure the input value (x) is within the function’s domain.
- Be aware of the principal value convention for inverse trigonometric functions.
Interactive FAQ
What are the domains of the inverse trigonometric functions?
The domains are as follows:
- sin-1(x): [0, π]
- cos-1(x): [0, π]
- tan-1(x): (-π/2, π/2)