Find the Exact Value sec(-270)

Problem

sec(−270)

Solution

1. Use the even-odd property of the secant function, which states sec(−θ)=sec(θ)

sec(−270)=sec(270)

2. Apply the reciprocal identity to express the secant function in terms of the cosine function.

sec(270)=1/cos(270)

3. Determine the value of cos(270) using the unit circle. At 270 the coordinates are (0,−1)

cos(270)=0

4. Evaluate the expression by substituting the value of the cosine function into the reciprocal identity.

1/0=undefined

Final Answer

sec(−270)=undefined

Want more problems? Check here!