Find the Exact Value sec(270)

Problem

sec(270)

Solution

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

sec(θ)=1/cos(θ)

2. Determine the value of the angle in the unit circle. The angle 270 corresponds to the point (0,−1) on the unit circle.

cos(270)=0

3. Substitute the value of the cosine into the secant formula.

sec(270)=1/0

4. Conclude that since division by zero is undefined, the secant of 270 does not exist.

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Final Answer

sec(270)=undefined

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