In triangle ABC, Sina + cosa = 0.2, then why is triangle ABC a triangle?

In triangle ABC, Sina + cosa = 0.2, then why is triangle ABC a triangle?


When a is in the first quadrant, Sina + cosa > 1, and Sina + cosa = 0.2, so a > 90 obtuse angle



If Sina cosa = 1 / 2, then sin3a cos3a=


∵sina-cosa=1/2∴sin2a=2sinacosa=-[(cosa)^2+(sina)^2-2sinacosa-1]=-[(sina-cosa)^2-1]3/4∵(cosa+sina)^2=(cosa)^2+(sina)^2+2sinacosa=1+3/4=7/4∴cosa+sina=±√7/2sin3a-cos3a=sin(a+2a)-cos(a+2a)=(sinacos2...