[ {"category": "Trigonometric", "mappings": { "default": { "default": "cosine function", "short": "cosine" } }, "key": "cos", "names": ["cos", "cosine"] }, {"category": "Trigonometric", "mappings": { "default": { "default": "cotangent function", "short": "cotangent"} }, "key": "cot", "names": ["cot"] }, {"category": "Trigonometric", "mappings": { "default": { "default": "cosecant function", "short": "cosecant"} }, "key": "csc", "names": ["csc"] }, {"category": "Trigonometric", "mappings": { "default": { "default": "secant function", "short": "secant"} }, "key": "sec", "names": ["sec"] }, {"category": "Trigonometric", "mappings": { "default": { "default": "sine function", "alternative": "sine function", "short": "sine" } }, "key": "sin", "names": ["sin", "sine"] }, {"category": "Trigonometric", "mappings": { "default": { "default": "tangent function", "short": "tangent"} }, "key": "tan", "names": ["tan"] }, {"category": "Cyclometric", "mappings": { "default": { "default": "inverse cosine function", "alternative": "arc cosine function", "short": "arc cosine"} }, "key": "arccos", "names": ["arccos"] }, {"category": "Cyclometric", "mappings": { "default": { "default": "inverse cotangent function", "alternative": "arc cotangent function", "short": "arc cotangent"} }, "key": "arccot", "names": ["arccot"] }, {"category": "Cyclometric", "mappings": { "default": { "default": "inverse cosecant function", "alternative": "arc cosecant function", "short": "arc cosecant"} }, "key": "arccsc", "names": ["arccsc"] }, {"category": "Cyclometric", "mappings": { "default": { "default": "inverse secant function", "alternative": "arc secant function", "short": "arc secant"} }, "key": "arcsec", "names": ["arcsec"] }, {"category": "Cyclometric", "mappings": { "default": { "default": "inverse sine function", "alternative": "arc sine function", "short": "arc sine"} }, "key": "arcsin", "names": ["arcsin"] }, {"category": "Cyclometric", "mappings": { "default": { "default": "inverse tangent function", "alternative": "arc tangent function", "short": "arc tangent"} }, "key": "arctan", "names": ["arctan"] } ]