Evaluate csc(pi/6)

Problem

csc(π/6)

Solution

1. Identify the definition of the cosecant function in terms of the sine function.

csc(θ)=1/sin(θ)

2. Substitute the given angle π/6 into the identity.

csc(π/6)=1/sin(π/6)

3. Recall the exact value of sin(π/6) from the unit circle or special triangles.

sin(π/6)=1/2

4. Simplify the fraction by calculating the reciprocal.

1/(1/2)=2

Final Answer

csc(π/6)=2

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