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Trigonometry

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Rotated Tangent for $(-2,-3)$

TRIG-NRWKPX

The line segment from the origin containing the point $(-2,-3)$ is rotated about the origin $\cfrac { \pi }{ 3 }$ radians.

Determine the tangent to three decimal places of the new angle formed between the line segment from the origin that contains the new coordinate and the positive $x$-axis.

A

$1.500$

B

$-2.022$

C

$-0.018$

D

$1.561$

E

$-1.500$