Trigonometry Examples

$\sin (9 (\frac{π}{3}))$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $9$ .

$\sin (3 (3) \frac{π}{3})$

Step 1.2

Cancel the common factor.

$\sin (3 \cdot 3 \frac{π}{3})$

Step 1.3

Rewrite the expression.

$\sin (3 π)$

Step 2

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

$\sin (π)$

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\sin (0)$

Step 4

The exact value of $\sin (0)$ is $0$ .

$0$