Evaluate sin(2(pi/4))

$\sin (2 (\frac{π}{4}))$

Step 1

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\sin (2 \frac{π}{2 (2)})$

Cancel the common factor.

$\sin (2 \frac{π}{2 \cdot 2})$

Rewrite the expression.

$\sin (\frac{π}{2})$

$\sin (\frac{π}{2})$

Step 2

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

$1$

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