Evaluate 2sin((3pi)/2)

$2 \sin (\frac{3 π}{2})$

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.

$2 (- \sin (\frac{π}{2}))$

Step 2

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

$2 (- 1 \cdot 1)$

Step 3

Multiply $2 (- 1 \cdot 1)$ .

Multiply $- 1$ by $1$ .

$2 \cdot - 1$

Multiply $2$ by $- 1$ .

$- 2$

Evaluate 2sin((3pi)/2)

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