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Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter IMPOSSIBLE.)

t = 5π/6

Verified Answer :

\(\sin(t) = \frac{1}{2} \\ \\ \cos(t) = - \frac{ \sqrt{3} }{2} \\ \\ \tan(t) = \frac{\sin(t)}{\cos(t)}= - \frac{1}{ \sqrt{3} } \\ \\ \csc(t) = \frac{1}{\sin(t)}= 2 \\ \\ \sec(t) =\frac{1}{\cos(t)}=- \frac{2}{ \sqrt{3}} \\ \\ \cot(t) = \frac{1}{\tan(t)}=- \sqrt{3}\)

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