Trigonometry

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Moderate

Double Angle Formula for Cosine Given Cosecant

TRIG-V4YREZ

If angle $\theta$ has a cosecant of $\cfrac{7}{6}$, and $\theta$ lies in Quadrant II, determine the cosine for angle $2\theta$.

A

$-\cfrac{2\sqrt{13}}{7}$

B

$\cfrac{36}{49}$

C

$-\cfrac{36}{49}$

D

$-\cfrac{23}{49}$

E

$-\cfrac{23}{49}$