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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