Trigonometry Examples

$\sin (\frac{6 π}{12})$

Step 1

Cancel the common factor of $6$ and $12$ .

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Step 1.1

Factor $6$ out of $6 π$ .

$\sin (\frac{6 (π)}{12})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $6$ out of $12$ .

$\sin (\frac{6 π}{6 \cdot 2})$

Step 1.2.2

Cancel the common factor.

$\sin (\frac{6 π}{6 \cdot 2})$

Step 1.2.3

Rewrite the expression.

$\sin (\frac{π}{2})$

$\sin (\frac{π}{2})$

$\sin (\frac{π}{2})$

Step 2

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$