Trigonometry

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Rotated Secant for $(-1,5)$

TRIG-LMD1FD

The line segment from the origin containing the point $(-1, 5)$ is rotated about the origin $\cfrac {5 \pi }{ 6 }$ radians.

Determine the secant 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

$5.099$

B

$1.331$

C

$-4.155$

D

$-1.056$

E

$-3.121$