Finite Math Examples

$f (x) = \frac{1}{3} \cdot \sin (\frac{2 π}{3})$

Step 1

Set $\frac{1}{3} \cdot \sin (\frac{2 π}{3})$ equal to $0$ .

$\frac{1}{3} \cdot \sin (\frac{2 π}{3}) = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $\frac{1}{3} \cdot \sin (\frac{2 (3.14159265)}{3})$ .

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Step 2.1.1

Simplify the expression.

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Step 2.1.1.1

Multiply $2$ by $3.14159265$ .

$\frac{1}{3} \cdot \sin (\frac{6.2831853}{3}) = 0$

Step 2.1.1.2

Divide $6.2831853$ by $3$ .

$\frac{1}{3} \cdot \sin (2.0943951) = 0$

Step 2.1.2

Combine $\frac{1}{3}$ and $\sin (2.0943951)$ .

$\frac{\sin (2.0943951)}{3} = 0$

Step 2.1.3

Evaluate $\sin (2.0943951)$ .

$\frac{\frac{\sqrt{3}}{2}}{3} = 0$

Step 2.1.4

Multiply the numerator by the reciprocal of the denominator.

$\frac{\sqrt{3}}{2} \cdot \frac{1}{3} = 0$

Step 2.1.5

Multiply $\frac{\sqrt{3}}{2} \cdot \frac{1}{3}$ .

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Step 2.1.5.1

Multiply $\frac{\sqrt{3}}{2}$ by $\frac{1}{3}$ .

$\frac{\sqrt{3}}{2 \cdot 3} = 0$

Step 2.1.5.2

Multiply $2$ by $3$ .

$\frac{\sqrt{3}}{6} = 0$

Step 2.2

Since $\frac{\sqrt{3}}{6} \neq 0$ , there are no solutions.

No solution