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Math·Geometry and Trigonometry·Right triangles and trigonometry

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If $\sin x=\frac{3}{5}$ and $\cos x<0$, find $\tan x$.

A

$-\frac{4}{3}$

B

$-\frac{3}{4}$

C

$\frac{3}{4}$

D

$\frac{4}{5}$