mgeo_u3_ea_rogm

sin(α) + cos(α) = cos(α)(1 + tan(α))

cos(α) + sin(α) = cos(α) + cos(α)tan(alpha)  sin(α) cos(α) + sin(α) = cos(α) +  cos(α) cos(α) cos(α) + sin(α) = cos(α) + sin(α)

(1 − sin2 (α))(1 − tan2 (α)) = 1 α α  =  πn 1−cos(α) sin(α)

=

→

n

∈ Z

  sin(α) 1+cos(α)

1 − cos(α)2 = 1 − cos(α)2 1 1  + 1−sen( 1+sen(α) α)

= 2 cos1( 2

)

α

2 2 = (1 − sin(α))(1 + sin(α)) cos(α)2 1 + tan(α) = 1 + cot(α) α

cot(α) = tan(α)