# What is the value of sin(3pi/2)?

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Apr 15, 2015

Convert first $\frac{3 \pi}{2}$ to degree measure to find out the location of the angle.
$\frac{3 \pi}{2} = \frac{3 \pi}{2}$ x ${\left(180\right)}^{o} / \left(\pi\right)$ = ${270}^{o}$

${270}^{o}$ is located in the III Quadrant

Finding the reference angle = ${270}^{o} - {180}^{o} = {90}^{o}$

sin$\frac{3 \pi}{2} = {90}^{o} = - 1$

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