Question

在△ABC中，∠C=90°，AC=1，AB=3，則cosB=　　　　　　．                    

Answer 1

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【考點(diǎn)】銳角三角函數(shù)的定義．                                                              

【分析】先畫(huà)出圖形，根據(jù)勾股定理和余弦函數(shù)的定義解答．                        

【解答】解：如圖：                                                                          

在△ABC中，∠C=90°，AC=1，AB=3，                                                  

由勾股定理可得：BC=2，                                                                   

∴cosB==．                                                                            

                                                                           

【點(diǎn)評(píng)】本題考查銳角三角函數(shù)的定義及運(yùn)用：在直角三角形中，銳角的正弦為對(duì)邊比斜邊，余弦為鄰邊比斜邊，正切為對(duì)邊比邊．