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On considére le nombre complexe
w = 1 – tan2 𝑎 + 2i tan 𝑎 ou 𝑎 ∈ ]- π/4 ; 0[.
Re(z) > 0
|z| = 1 + tan2 𝑎
Arg z = 𝑎 + 2kπ (k ∈ Z)
lm(z) = (1 + tan2𝑎) sin2𝑎
Re(z) = (1 + tan2𝑎)cos𝑎