Find the Exact Value sec(pi/2)

Problem

sec(π/2)

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 π/2 into the cosine function.

cos(π/2)=0

3. Evaluate the expression by substituting the value of the cosine into the secant formula.

sec(π/2)=1/0

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

undefined

Final Answer

sec(π/2)=undefined

Want more problems? Check here!