question find the exact value of sec π/2 in simplest form with a rational denominator. answer attempt 1 out…

question find the exact value of sec π/2 in simplest form with a rational denominator. answer attempt 1 out of 2 submit answer undefined

question find the exact value of sec π/2 in simplest form with a rational denominator. answer attempt 1 out of 2 submit answer undefined

Answer

Explanation:

Step1: Recall secant - cosine relationship

$\sec x=\frac{1}{\cos x}$, so $\sec\frac{\pi}{2}=\frac{1}{\cos\frac{\pi}{2}}$.

Step2: Evaluate cosine value

We know that $\cos\frac{\pi}{2} = 0$.

Step3: Determine secant value

Since $\sec\frac{\pi}{2}=\frac{1}{\cos\frac{\pi}{2}}$ and $\cos\frac{\pi}{2}=0$, division by zero is undefined. So $\sec\frac{\pi}{2}$ is undefined.

Answer:

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