Lineare Algebra Beispiele

5.4 (cos (68.2) + j sin (68.2)) - 5 (cos (53.1) + j sin (53.1))

$5.4 (\cos (68.2) + j \sin (68.2)) - 5 (\cos (53.1) + j \sin (53.1))$

Schritt 1

Vereinfache jeden Term.

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Schritt 1.1

Wende das Distributivgesetz an.

5.4 cos (68.2) + 5.4 (j sin (68.2)) - 5 (cos (53.1) + j sin (53.1))

$5.4 \cos (68.2) + 5.4 (j \sin (68.2)) - 5 (\cos (53.1) + j \sin (53.1))$

Schritt 1.2

Mutltipliziere

5.4

$5.4$ mit

cos (68.2)

$\cos (68.2)$ .

2.00538631 + 5.4 (j sin (68.2)) - 5 (cos (53.1) + j sin (53.1))

$2.00538631 + 5.4 (j \sin (68.2)) - 5 (\cos (53.1) + j \sin (53.1))$

Schritt 1.3

Mutltipliziere

sin (68.2)

$\sin (68.2)$ mit

5.4

$5.4$ .

2.00538631 + 5.01382346 j - 5 (cos (53.1) + j sin (53.1))

$2.00538631 + 5.01382346 j - 5 (\cos (53.1) + j \sin (53.1))$

Schritt 1.4

Wende das Distributivgesetz an.

2.00538631 + 5.01382346 j - 5 cos (53.1) - 5 j sin (53.1)

$2.00538631 + 5.01382346 j - 5 \cos (53.1) - 5 j \sin (53.1)$

2.00538631 + 5.01382346 j - 5 cos (53.1) - 5 j sin (53.1)

$2.00538631 + 5.01382346 j - 5 \cos (53.1) - 5 j \sin (53.1)$

Schritt 2

Subtrahiere

5 cos (53.1)

$5 \cos (53.1)$ von

2.00538631

$2.00538631$ .

5.01382346 j - 0.99671481 - 5 j sin (53.1)

$5.01382346 j - 0.99671481 - 5 j \sin (53.1)$