问题 选择题 若sin(π2+α)+cos(α-π2)=75,则sin(3π2+α)+cos(α-3π2)=( )A.-35B.45C.-75D.75 答案 原式=cosα+sinα=75,∴sin(3π2+α)+cos(α-3π2)=-cosα-sinα=-75.故答案选C