∵sinα+cosα=1/2∴(sinα+cosα)²=1/4sin²α+2sinαcosα+cos²α=1/4sinα2a=-3/4∵ sinα²2a+cos²2a=1∴cos²2a=1-sinα²2a=1-(-3/4)²=7/16∴cos2a=±√7/4