Mathcad - 6 pratybos pdf.mcd

7. Apskaiciuokite ( 1 i) i a b ln ab= e = e blna e iz = cos z i sin z e ab=e a e b( 1 i) i e Ln 1i= ( )i = e iLn ( 1i)πLn ( 1 i) = ln 1 i i( arg( 1 i) 2π k)= ln 2 i 2π k k ∈ Z4 π( 1 i) i i ln 2 i 4 2πk π iln 2= e 4 2πk= e ( π/42π k)= e e iln 2= i sinln 2 ( π/42π k) ( π/42π k)= ecos ln 2 ecos ln 2 ln 2= isin k ∈ Z2 2 eRe ( 1 i) i ( π/42π k)= cos ln 2Im ( 1 i) i2 e ( π/42π k)= sin ln 2 k ∈ Z2( 1 i) i complex eπ4cos ln( 2)2 14 π e sin 1 2 ln(2)i