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Given that $\theta = \tan^{-1}\left(-\frac{\sqrt{10}}{3}\right)$, determine which are true.

Select ALL that apply.

A

$\sin\theta = -\cfrac{\sqrt{1090}}{109}$

B

$\cos\theta = \cfrac{3\sqrt{19}}{19}$

C

$\csc\theta = \cfrac{\sqrt{190}}{10}$

D

$\sec\theta = \cfrac{\sqrt{19}}{3}$

E

$\cot\theta =- \cfrac{3\sqrt{10}}{10}$

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