question 7 of 10 tan(π/2) = ____ a. 0 b. 1 c. undefined d. -1

Explanation:

Step1: Recall tangent formula

$\tan(x)=\frac{\sin(x)}{\cos(x)}$

Step2: Substitute $x = \frac{\pi}{2}$

When $x=\frac{\pi}{2}$, $\sin(\frac{\pi}{2}) = 1$ and $\cos(\frac{\pi}{2})=0$. So $\tan(\frac{\pi}{2})=\frac{\sin(\frac{\pi}{2})}{\cos(\frac{\pi}{2})}=\frac{1}{0}$.

Step3: Determine the result

Division by zero is undefined.

Answer:

C. Undefined