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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