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如果一个数学命题，它的题设独立条件有两个或两个以上者，那么这若干个条件必须是互无矛盾的，或者说是相容的、和谐的．否则，就是错题．三角公式的多变性和数学命题条件的制约性，往往容易导致出现题设条件互相矛盾的三角错题，今择数例加以剖析．例１ 已知ｓｉｎα＝５７
If a mathematical proposition has two or more independent conditions for its title, then these conditions must be mutually exclusive, or consistent and harmonious. Otherwise, it is the wrong question. The variability of the trigonometric formulae and the constraints of the mathematical propositional conditions tend to lead to the emergence of triangular faults where the conditions are inconsistent and the number of cases is analyzed. Example 1 Known sinα=57