Find the Exact Value -sin((11pi)/6)

$- \sin (\frac{11 π}{6})$

Step 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

$- - \sin (\frac{π}{6})$

Step 2

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

$- - \frac{1}{2}$

Step 3

Multiply $- - \frac{1}{2}$ .

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{2})$

Multiply $\frac{1}{2}$ by $1$ .

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

Find the Exact Value -sin((11pi)/6)

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