find the function value using coordinates of points on the unit circle. give an exact answer. tan(π/2)…
find the function value using coordinates of points on the unit circle. give an exact answer. tan(π/2) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. tan(π/2)= (simplify your answer, including any radicals. use integers or fractions for any numbers in the expression.) b. the function is undefined.
Answer
Explanation:
Step1: Recall tangent formula
The formula for $\tan\theta=\frac{\sin\theta}{\cos\theta}$. For $\theta = \frac{\pi}{2}$, we know that $\sin\frac{\pi}{2}=1$ and $\cos\frac{\pi}{2} = 0$.
Step2: Evaluate the tangent
Substitute into the formula: $\tan\frac{\pi}{2}=\frac{\sin\frac{\pi}{2}}{\cos\frac{\pi}{2}}=\frac{1}{0}$. Division by zero is undefined.
Answer:
B. The function is undefined.