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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