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 to evaluate the denominator.

cos(−90)=0

3. Analyze the result of the substitution into the secant formula.

sec(−90)=1/0

4. Conclude that since division by zero is undefined, the secant of the angle does not exist.

Final Answer

sec(−90)=Undefined

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