Evaluate 2sin((7pi)/6)

$2 \sin (\frac{7 π}{6})$

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 third quadrant.

$2 (- \sin (\frac{π}{6}))$

Step 2

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

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

Step 3

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{2}$ into the numerator.

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

Cancel the common factor.

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

Rewrite the expression.

$- 1$

Evaluate 2sin((7pi)/6)

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