Simplify csc(90)

Problem

csc(90^∘)

Solution

1. Identify the trigonometric identity for the cosecant function, which is the reciprocal of the sine function.

csc(θ)=1/sin(θ)

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

csc(90^∘)=1/sin(90^∘)

3. Evaluate the sine of 90^∘ using the unit circle or trigonometric tables.

sin(90^∘)=1

4. Simplify the fraction by dividing the numerator by the denominator.

1/1=1

Final Answer

csc(90^∘)=1

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