Inverse trig calculator & worldwide slope standards
This tool gives you inverse trig values (arcsin, arccos, arctan) with a live graph, and checks ramp angles against USA & world health inspired limits. Use the model year to see how recommendations change. All inputs have clear placeholders — numbers for values, text for year.
- 📐 iinverse trig calculator (notice the double‑i – that’s our keyword cluster) computes angles in degrees or radians.
- ⚕️ Ramp slope from rise/run is compared to simulated USA standards 2024–2026 (max angle decreases slightly for demonstration).
- 🌍 International references (UK, EU, Australia) included in tables below.
- 📈 Graph updates with the function you pick.
📐 Inverse trig function
arcsin/arccos domain [-1, 1] — otherwise undefined.
🧑🦽 Ramp slope (arctan) & standards
* simulated yearly limits: 2024=4.8°, 2025=4.5°, 2026=4.3° (others default to 4.8°).
📊 Live graph of selected inverse trig function
Domain: [–1,1] for arcsin/arccos · [–5,5] for arctan
Reference tables & standards
Table 1: Common arcsin values (degrees)
| x | arcsin(x) ° | radians |
|---|---|---|
| -1 | -90 | -π/2 |
| -0.5 | -30 | -π/6 |
| 0 | 0 | 0 |
| 0.5 | 30 | π/6 |
| 1 | 90 | π/2 |
Table 2: Common arccos values (degrees)
| x | arccos(x) ° | radians |
|---|---|---|
| -1 | 180 | π |
| -0.5 | 120 | 2π/3 |
| 0 | 90 | π/2 |
| 0.5 | 60 | π/3 |
| 1 | 0 | 0 |
Table 3: Common arctan values (degrees)
| x | arctan(x) ° | radians |
|---|---|---|
| -∞ (‑10) | -84.3 | -1.471 |
| -1 | -45 | -π/4 |
| 0 | 0 | 0 |
| 1 | 45 | π/4 |
| ∞ (10) | 84.3 | 1.471 |
Table 4: Simulated USA ramp max slope by year
| Model year | max angle (deg) | slope ratio |
|---|---|---|
| 2024 | 4.8° | ~1:11.9 |
| 2025 | 4.5° | ~1:12.7 |
| 2026 | 4.3° | ~1:13.3 |
| Other (default) | 4.8° | 1:12 (ADA style) |
Table 5: World health / building code references (approx)
| Region | max slope angle | notes |
|---|---|---|
| UK (Building Regs) | 5° (1:12) | for stepped ramps |
| EU (EN 12183) | 4.76° (1:12) | wheelchair accessible |
| Australia (AS 1428) | 4.8° (1:12) | max recommended |
| WHO (guidelines) | 5° | ergonomic limit |
Frequently Asked Questions (inverse trig & standards)
If you're exploring different mathematical tools, you can start with the Inverse Laplace Calculator to quickly compute inverse Laplace transforms, or try the Inverse Laplace Transform Calculator for solving more detailed transform problems step by step. If you're working with function relationships, the Inverse Function Calculator is also helpful for finding inverse functions instantly.