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Trigonometry

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Moderate

Rotated Tangent for $(-7,6)$

TRIG-VIEKGN

The line segment from the origin containing the point $(-7,6)$ is rotated about the origin $\cfrac { \pi }{ 2 }$ radians.

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

A

$\cfrac { 6 }{ 7 }$

B

$\cfrac { 7 }{ 6 }$

C

$-\cfrac { 7 }{ 6 }$

D

$-\cfrac { 6 }{ 7 }$

E

$-\cfrac{\sqrt{85}}{6}$