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Trigonometry

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Moderate

Rotated Secant for $(-2,-6)$

TRIG-L4HHWY

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

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

A

$-\cfrac { \sqrt { 10 } }{ 10 }$

B

$\sqrt { 10 } $

C

$-\sqrt { 10 } $

D

$-\cfrac { \sqrt { 10 } }{ 3 }$

E

$\cfrac { \sqrt { 10 } }{ 3 }$