Find the Exact Value csc(90 degrees )

Problem

csc(90^∘)

Solution

1. Identify the trigonometric identity for cosecant in terms of sine.

csc(θ)=1/sin(θ)

2. Substitute the given angle 90^∘ into the identity.

csc(90^∘)=1/sin(90^∘)

3. Determine the value of sin(90^∘) using the unit circle or trigonometric tables.

sin(90^∘)=1

4. Simplify the fraction to find the final result.

csc(90^∘)=1/1

csc(90^∘)=1

Final Answer

csc(90^∘)=1

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