已知α为第四象限角,化简：cosα√[(1-sinα)/(1+sinα)]+sinα√[(1-cosα)/(1+cosα)]_数学解答

已知α为第四象限角,化简：cosα√[(1-sinα)/(1+sinα)]+sinα√[(1-cosα)/(1+cosα)]

人气：471 ℃　时间：2020-03-30 21:31:30

解答

(1-sinα)/(1+sinα)=(1-sinα)²/(1-sinα)(1+sinα)=(1-sinα)²/(1-sin²α)=(1-sinα)²/cos²α(1-cosα)/(1+cosα)=(1-cosα)²/(1+cosα)(1-cosα)=(1-cosα)²/(1-cos²α)...