AI Tools
Health
Math
Everyday Life
Finance
Physics
Chemistry
Statistics
Construction
Pets
Time & Date
Conversion Calculator
Sign InPages
Category
Follow Us On:
Pages
Category
Follow Us On:
Enter the tangent value, and the free Arctan Calculator will determine the inverse tangent (arctan) value in both degrees and radians.
Related
The free online arctan calculator lets you find the inverse tangent function, \( \arctan(x) \), in radians, degrees, and other units. Enter a tangent value, and the tool handles the calculations automatically. It supports decimals like 0.5, 0.86, -0.9, etc.
In trigonometry, the arctangent is the inverse of the tangent function. For a real number \( x \in \mathbb{R} \):
If \( \tan(y) = x \), then \( \arctan(x) = y = \tan^{-1}(x) \).
Using an online arctan calculator is the most convenient way to handle inverse tangent calculations.
\( y = \tan(x) \quad \Rightarrow \quad x = \arctan(y) \)
If \( \tan(45^\circ) = 1 \), then:
\( \arctan(1) = \tan^{-1}(1) = 45^\circ = 45 \times \pi / 180 \approx 0.7854 \, \text{rad} \)
To find an angle from tangent:
\( \theta = \arctan\left(\frac{\text{opposite}}{\text{adjacent}}\right) = \arctan(a/b) \)
Example: Right-angled triangle with opposite side \( a \) and adjacent side \( b \):
These values are useful for manual calculations, though a calculator can simplify the process:
| y | arctan(y) (°) | arctan(y) (rad) |
|---|---|---|
| -∞ | -90° | -π/2 |
| -√3 | -60° | -π/3 |
| -1 | -45° | -π/4 |
| -√3/3 | -30° | -π/6 |
| 0 | 0° | 0 |
| √3/3 | 30° | π/6 |
| 1 | 45° | π/4 |
| √3 | 60° | π/3 |
| ∞ | 90° | π/2 |
The arctan function starts at \( (-\infty, -\pi/2) \) and approaches \( (\infty, \pi/2) \):
An arccos calculator works similarly for inverse cosine.
Limiting arctan to \( [-\pi/2, \pi/2] \) ensures it is one-to-one. Adding 180° accounts for angles in quadrants 2 and 3.
Since the range is \( [-\pi/2, \pi/2] \), \( \arctan(\infty) = \pi/2 = 90^\circ \).
No, the series diverges as x grows large, similar to the harmonic series.
\( \arctan(-\infty) = -90° \), lying in the fourth quadrant.
The arctan calculator simplifies one of the trickiest trigonometric functions. It is ideal for students and teachers to learn and verify inverse tangent calculations easily.
Related
Add this calculator to your site.
×Just copy a given code & paste it right now into your website HTML (source) for suitable page.
Preview:
Easter into Action, Save With Satisfaction
UPTO
50 %
OFF
Give Us Your Feedback
Share Result
Arctan Calculator
Links
Home Conversion Calculator About Calculator Online Blog Hire Us Knowledge Base Sitemap Sitemap TwoEmail us at
Contact Us© Copyrights 2026 by Calculator-Online.net
