Taller Grupal2018.docx

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Taller grupal Forma polar impares 3).-5 𝑧1 = |𝑧1| = √(βˆ’5)2 + (0)2 √25 = 5 0 πœƒ = π‘‘π‘Žπ‘›βˆ’1 ( ) + 180Β° 5 0Β° + 180Β° = 180Β° Forma polar 𝑧1 = (5,180Β°) Z=5(cos 180 + isen180)

1+𝑖

5) 1βˆ’π‘–

1+𝑖 1+𝑖 1 + 𝑖 2 + 2𝑖 1 βˆ’ 1 + 2𝑖 βˆ— = = 1βˆ’π‘– 1+𝑖 1 βˆ’ 𝑖2 1+1 2𝑖 =𝑖 2

Determinar el valor principal del argumento βˆ’1 βˆ’ 𝑖 π‘‘π‘Žπ‘›βˆ’1 (

πœƒ = π‘Žπ‘Ÿπ‘ π‘‘π‘Žπ‘›

βˆ’1 ) = 45Β° βˆ’1

βˆ’1 = 180Β° + 45Β° βˆ’1

πœƒ = 225Β°

ConversiΓ³n 17) 3(cos 0.2 + 𝑖 𝑠𝑒𝑛 0.2) π‘₯ = π‘Ÿ cos πœƒ 𝑦 = π‘Ÿ 𝑠𝑒𝑛 πœƒ π‘₯ = 3 cos 0.2 = 3 βˆ— 1 = 3 𝑦 = 3𝑠𝑒𝑛0.2 = 3 βˆ— 0 = 0 =3

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