Source: https://guthlabs.ai/docs/instruments/unit-circle-explorer/implementation/

instrument implementation / implementation-contract

# Unit Circle Explorer implementation

A source-bound implementation contract for Unit Circle Explorer; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t6-094

**Effect**: Computation or source lookup only

## Input and validation requirements

The singular tangent case requires explicit undefined-result handling, and the specification does not define angle sign or rotation-direction conventions. A finite tangent at π/2 or a reversed point for −90° would be an implementation failure.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "angle": 0,
    "angle_unit": "degrees"
  },
  "expected_outputs": {
    "radians": 0,
    "degrees": 0,
    "coordinate": {
      "x": 1,
      "y": 0
    },
    "sin": 0,
    "cos": 1,
    "tan": 0,
    "reference_angle_degrees": 0
  },
  "working": "1. Convert degrees to radians: 0 * pi/180 = 0.\n2. Unit-circle point: (cos(0), sin(0)) = (1, 0).\n3. Tangent: tan(0) = sin(0)/cos(0) = 0/1 = 0.\n4. Reference angle: 0 degrees."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/unit-circle-explorer/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/unit-circle-explorer/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/unit-circle-explorer/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche6/tranche6-results.json`