Question

find the exact value of the expression. do not use a calculator. sec 60° tan 45° select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. sec 60° tan 45° = (simplify your answer. type an exact answer, using radicals as needed. use integers or fractions for any numbers in the expression.) b. the answer is undefined

Explanation:

Step1: Recall the values of trigonometric functions

We know that $\sec\theta=\frac{1}{\cos\theta}$, so $\sec60^{\circ}=\frac{1}{\cos60^{\circ}}$. And $\cos60^{\circ}=\frac{1}{2}$, so $\sec60^{\circ}=\frac{1}{\frac{1}{2}} = 2$. Also, $\tan45^{\circ}=1$.

Step2: Calculate the product

Now we find the product $\sec60^{\circ}\tan45^{\circ}$. Substitute the values we found: $2\times1$.

Answer:

A. $\sec60^{\circ}\tan45^{\circ}=2$