Precalculus Examples

$\sin (\frac{3 π}{12})$

Step 1

Cancel the common factor of $3$ and $12$ .

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Step 1.1

Factor $3$ out of $3 π$ .

$\sin (\frac{3 (π)}{12})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $12$ .

$\sin (\frac{3 π}{3 \cdot 4})$

Step 1.2.2

Cancel the common factor.

$\sin (\frac{3 π}{3 \cdot 4})$

Step 1.2.3

Rewrite the expression.

$\sin (\frac{π}{4})$

Step 2

The exact value of $\sin (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$\frac{\sqrt{2}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{2}}{2}$

Decimal Form:

$0.70710678 \dots$