Find the Exact Value sin((18pi)/4)

$\sin (\frac{18 π}{4})$

Step 1

Cancel the common factor of $18$ and $4$ .

Factor $2$ out of $18 π$ .

$\sin (\frac{2 (9 π)}{4})$

Cancel the common factors.

Factor $2$ out of $4$ .

$\sin (\frac{2 (9 π)}{2 (2)})$

Cancel the common factor.

$\sin (\frac{2 (9 π)}{2 \cdot 2})$

Rewrite the expression.

$\sin (\frac{9 π}{2})$

Step 2

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\sin (\frac{π}{2})$

Step 3

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

$1$