Trigonometry Examples

32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))

$32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$

Step 1

Set

32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))

$32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$ equal to

0

$0$ .

32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) = 0

$32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) = 0$

Step 2

Solve for

x

$x$ .

Tap for more steps...

Step 2.1

Simplify

32 (\cos (\frac{3.14159265}{3}) + i \sin (\frac{3.14159265}{3}))

$32 (\cos (\frac{3.14159265}{3}) + i \sin (\frac{3.14159265}{3}))$ .

Tap for more steps...

Step 2.1.1

Simplify each term.

Tap for more steps...

Step 2.1.1.1

Divide

3.14159265

$3.14159265$ by

3

$3$ .

32 (\cos (1.04719755) + i \sin (\frac{3.14159265}{3})) = 0

$32 (\cos (1.04719755) + i \sin (\frac{3.14159265}{3})) = 0$

Step 2.1.1.2

Divide

3.14159265

$3.14159265$ by

3

$3$ .

32 (\cos (1.04719755) + i \sin (1.04719755)) = 0

$32 (\cos (1.04719755) + i \sin (1.04719755)) = 0$

32 (\cos (1.04719755) + i \sin (1.04719755)) = 0

$32 (\cos (1.04719755) + i \sin (1.04719755)) = 0$

Step 2.1.2

Apply the distributive property.

32 \cos (1.04719755) + 32 i \sin (1.04719755) = 0

$32 \cos (1.04719755) + 32 i \sin (1.04719755) = 0$

32 \cos (1.04719755) + 32 i \sin (1.04719755) = 0

$32 \cos (1.04719755) + 32 i \sin (1.04719755) = 0$

Step 2.2

Since

32 \cos (1.04719755) + 32 i \sin (1.04719755) \neq 0

$32 \cos (1.04719755) + 32 i \sin (1.04719755) \neq 0$ , there are no solutions.

No solution