Find the Exact Value sec(90 degrees )

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 cosine function.

θ=90

3. Evaluate the cosine of 90 using the unit circle or trigonometric properties.

cos(90)=0

4. Determine the value of the secant function by substituting the result into the reciprocal formula.

sec(90)=1/0

5. Conclude that since division by zero is not defined, the value does not exist.

Final Answer

sec(90)=Undefined

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