Trigonometry Examples

$8 (\cos (\frac{4 π}{5}) + i \sin (\frac{4 π}{5}))$

Step 1

Set $8 (\cos (\frac{4 π}{5}) + i \sin (\frac{4 π}{5}))$ equal to $0$ .

$8 (\cos (\frac{4 π}{5}) + i \sin (\frac{4 π}{5})) = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $8 (\cos (\frac{4 (3.14159265)}{5}) + i \sin (\frac{4 (3.14159265)}{5}))$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Multiply $4$ by $3.14159265$ .

$8 (\cos (\frac{12.56637061}{5}) + i \sin (\frac{4 (3.14159265)}{5})) = 0$

Step 2.1.1.2

Divide $12.56637061$ by $5$ .

$8 (\cos (2.51327412) + i \sin (\frac{4 (3.14159265)}{5})) = 0$

Step 2.1.1.3

Multiply $4$ by $3.14159265$ .

$8 (\cos (2.51327412) + i \sin (\frac{12.56637061}{5})) = 0$

Step 2.1.1.4

Divide $12.56637061$ by $5$ .

$8 (\cos (2.51327412) + i \sin (2.51327412)) = 0$

Step 2.1.2

Apply the distributive property.

$8 \cos (2.51327412) + 8 i \sin (2.51327412) = 0$

Step 2.2

Since $8 \cos (2.51327412) + 8 i \sin (2.51327412) \neq 0$ , there are no solutions.

No solution