## Trigonometry 7th Edition

-$\frac{3}{2}$
Let's assume that reciprocal of -$\frac{2}{3}$ is '$x$'. By definition, product of a number and its reciprocal is always 1. Therefore- $-(\frac{2}{3})\times x$ = 1 $x$ = $\frac{1}{-(\frac{2}{3})}$ or $x$ = -$\frac{3}{2}$ i.e. reciprocal of -$\frac{2}{3}$ is -$\frac{3}{2}$