Evaluate sec(90)

Problem

sec(90^∘)

Solution

1. Identify the definition of the secant function in terms of the cosine function.

sec(θ)=1/cos(θ)

2. Substitute the given angle into the expression.

sec(90^∘)=1/cos(90^∘)

3. Evaluate the cosine of 90^∘ using the unit circle or trigonometric values.

cos(90^∘)=0

4. Determine the value of the fraction. Since the denominator is zero, the expression is undefined.

1/0⇒undefined

Final Answer

sec(90^∘)=undefined

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