math.arcsin

Three distinct suites: educational examples on the calculator page, this legacy regression count (11/11 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

STALE · Build schema 1.1.0 matches page · production binding STALE · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · CVP STALE · attestation STALE — Production CURRENT withheld · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.0.5. CVP 1.0.0-proposed. 6/6 golden · 5/5 CVP boundary · 5/5 invalid · 5/5 property · 3/3 metamorphic · 5/5 round-trip · 19/19 O3 · 1/1 cross-interface · 4/4 URL→result→graph · 3/3 CVP contract. digest 8ccedfaab98f.

• Golden (oracle-backed) 6 / 6
• CVP boundary 5 / 5
• Invalid input 5 / 5
• Property 5 / 5
• Metamorphic 3 / 3
• Round-trip 5 / 5
• O3 high-precision 19 / 19
• Cross-interface 1 / 1
• URL → result → graph 4 / 4
• CVP contract 3 / 3
• Interfaces PASS · UI (SSR) / REST / MCP / URL→result→graph
• Interface claim Success 1/1. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session.
• Assurance Core

• release artifacts aligned PASS
• schema output required declared PASS
• schema valid input executes PASS
• engine success output validates schema PASS
• rest success payload validates schema PASS

Fingerprint sha256:4953573189c37b0f083d599a9bb748776f1bccdfcf9ad01a1848131122926ea0

Input schema sha256:641160f19a9efb5244e923b248dfcb154664532e49d7513a9c76395b68579fa5 · Output schema sha256:a4feb150689f71cbdce87fc4184f3fb38209adf430ce4fe41b93d7cdd4ed69d0 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Tool

arcsin

Engine

arcsin

Engine build

2026-09-10

Evidence core

2026-09-10T22:48:17.762Z

Rendered

2026-10-12T22:53:32.082Z

Last reviewed

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Assumptions

• Real inverse sine with principal branch [−π/2, π/2] (NIST DLMF §4.23(ii)). Complex arcsin is not returned.
• Opposite/hypotenuse in the UI is a local triangle convenience (hypotenuse > 0, opposite ≥ 0, opposite ≤ hypotenuse). The published engine is arcsin(x). Use Decimal for a signed ratio, and Sin for the forward map.
• When x is exactly a listed common value (0, ±1/2, ±√2/2, ±√3/2, ±1), the engine returns the exact algebraic angle such as 30° = π/6. Nearby floats are not snapped.

Limitations

• x outside [−1, 1] → NOT_REAL
• Missing x → MISSING_REQUIRED_INPUT