Find the Exact Value csc(pi/2)

Problem

csc(π/2)

Solution

1. Identify the relationship between the cosecant function and the sine function using the reciprocal identity.

csc(θ)=1/sin(θ)

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

csc(π/2)=1/sin(π/2)

3. Evaluate the sine of π/2 using the unit circle or known trigonometric values.

sin(π/2)=1

4. Simplify the fraction to find the final value.

1/1=1

Final Answer

csc(π/2)=1

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