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1- sin 2a= (sin a-cos a)^2

Răspuns :

[tex]1-sin(2a)=(sin a - cos a)^2[/tex]

1-sin(2a); sin(2a) = 2sin(a)cos(a)
1-2cos(a)sin(a); 1 = [tex]sin^2a + cos^2a[/tex]
[tex]cos^2 a -2cos(a)sin(a)+sin^2a[/tex] 
[tex](sin(a) - cos(a) )^2[/tex]

[tex]=\ \textgreater \ (sin(a) - cos(a))^2 = (sin(a)-cos(a))^2 -Adevarat[/tex]