Inverse Trig Calculator
How It Works
This inverse trig calculator uses established formulas to provide accurate results.
The basic rule:
- arcsin(x) returns θ where sin(θ) = x
- arccos(x) returns θ where cos(θ) = x
- arctan(x) returns θ where tan(θ) = x
- Degrees = Radians × (180/π)
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
What is an inverse trigonometric function?
Inverse trig functions do the reverse of regular trig functions. While sin(30°) = 0.5, arcsin(0.5) = 30°. They take a ratio and return the angle that produces that ratio.
What are the domain restrictions for inverse trig functions?
arcsin and arccos only accept inputs between -1 and 1 (since sine and cosine can only produce values in that range). arctan accepts any real number.
What is the range of arcsin, arccos, and arctan?
arcsin returns angles from -90° to 90°. arccos returns angles from 0° to 180°. arctan returns angles from -90° to 90° (not including the endpoints).
How do I find sin⁻¹ on a calculator?
On most calculators, press the 'inverse' or '2nd' button, then press the sin, cos, or tan button. The notation sin⁻¹(x) means arcsin(x), not 1/sin(x).