Precalculus Examples

$32 (\cos (280 °) + i \sin (280 °))$

Step 1

Set $32 (\cos (280 °) + i \sin (280 °))$ equal to $0$ .

$32 (\cos (280 °) + i \sin (280 °)) = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $32 (\cos (280 °) + i \sin (280 °))$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Evaluate $\cos (280 °)$ .

$32 (0.17364817 + i \sin (280 °)) = 0$

Step 2.1.1.2

Evaluate $\sin (280 °)$ .

$32 (0.17364817 + i \cdot - 0.98480775) = 0$

Step 2.1.1.3

Move $- 0.98480775$ to the left of $i$ .

$32 (0.17364817 - 0.98480775 i) = 0$

Step 2.1.2

Simplify by multiplying through.

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Step 2.1.2.1

Apply the distributive property.

$32 \cdot 0.17364817 + 32 (- 0.98480775 i) = 0$

Step 2.1.2.2

Multiply.

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Step 2.1.2.2.1

Multiply $32$ by $0.17364817$ .

$5.55674168 + 32 (- 0.98480775 i) = 0$

Step 2.1.2.2.2

Multiply $- 0.98480775$ by $32$ .

$5.55674168 - 31.51384809 i = 0$

Step 2.2

Since $5.55674168 - 31.51384809 i \neq 0$ , there are no solutions.

No solution