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| TangentFn |
| appearance as argument number 1 |
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| (instance TangentFn UnaryFunction) | Merge.kif 5352-5352 | Tangent is an instance of unary function |
| (instance TangentFn TotalValuedRelation) | Merge.kif 5353-5353 | Tangent is an instance of total valued relation |
| (domain TangentFn 1 RealNumber) | Merge.kif 5354-5354 | The number 1 argument of tangent is an instance of real number |
| (range TangentFn RealNumber) | Merge.kif 5355-5355 | The range of tangent is an instance of real number |
| (documentation TangentFn EnglishLanguage "(TangentFn ?DEGREE) is the tangent of ?DEGREE. The tangent of ?DEGREE is the ratio of the side opposite ?DEGREE to the side next to ?DEGREE in a right-angled triangle.") | Merge.kif 5357-5360 | The range of tangent is an instance of real number |
| appearance as argument number 2 |
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| consequent |
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| (=> (instance ?DEGREE RealNumber) (equal (TangentFn ?DEGREE) (DivisionFn (SineFn ?DEGREE) (CosineFn ?DEGREE)))) |
Merge.kif 5362-5368 | If X is an instance of real number, then equal the tangent of X, the sine of X, and the cosine of X |
| statement |
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| (equal (ArcTangentFn (TangentFn ?X)) ?X) |
Merge.kif 5378-5378 | equal the arctan of the tangent of X and X |