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sinα=2t/1+t~2,cosα=1-t~2/1+t~2,tgα=2t/1-t~2,其中t=tgα/2,称为万能有理置换公式。它的运用是很广泛的。在很多场合,利用置换公式,能使问题简化。
Sinα=2t/1+t~2, cosα=1-t~2/1+t~2, tgα=2t/1-t~2, where t=tgα/2 is called the universal rational replacement formula. Its use is very extensive. In many cases, using the substitution formula can simplify the problem.