Evaluate sin((2pi)/4)

$\sin (\frac{2 π}{4})$

Step 1

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 π$ .

$\sin (\frac{2 (π)}{4})$

Cancel the common factors.

Factor $2$ out of $4$ .

$\sin (\frac{2 π}{2 \cdot 2})$

Cancel the common factor.

$\sin (\frac{2 π}{2 \cdot 2})$

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 $1$ .

$1$

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