Problem

Evaluate $\csc \left(\frac{\pi}{6}\right)$

Enter the exact answer.
\[
\csc \left(\frac{\pi}{6}\right)=
\]

Answer

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Answer

Final Answer: \( \csc \left(\frac{\pi}{6}\right)= \boxed{2} \)

Steps

Step 1 :The cosecant function, denoted as csc(x), is the reciprocal of the sine function. So, to find the value of csc(pi/6), we need to find the reciprocal of sin(pi/6).

Step 2 :The value of sin(pi/6) is 1/2.

Step 3 :So, the reciprocal of 1/2 is 2.

Step 4 :Therefore, csc(pi/6) = 2.

Step 5 :Final Answer: \( \csc \left(\frac{\pi}{6}\right)= \boxed{2} \)

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