Linear Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $5.4$ by $\cos (68.2)$ .

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

Step 1.3

Multiply $\sin (68.2)$ by $5.4$ .

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

Step 1.4

Apply the distributive property.

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

Step 2

Subtract $5 \cos (53.1)$ from $2.00538631$ .

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