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Secant, Cosecant, Complementary Angles, Radian Measure

TRIG-1Y2UBG

Given $\text{ sec}\;\cfrac { \pi }{ 6 } =\text{ csc}\;\theta $, find the exact value of $\theta$.

A

$\theta =\cfrac { 5 \pi }{ 3 } $

B

$\theta =\cfrac { 2 \pi }{ 3 } $

C

$\theta =\cfrac { \pi }{ 3 } $

D

$\theta =\cfrac { 7 \pi }{ 6 } $