Question

find the exact value of the expression. do not use a calculator. sin 60° + cos 45° select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. sin 60° + cos 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 exact sine value

$\sin 60^\circ = \frac{\sqrt{3}}{2}$

Step2: Recall exact cosine value

$\cos 45^\circ = \frac{\sqrt{2}}{2}$

Step3: Sum the two values

$\sin 60^\circ + \cos 45^\circ = \frac{\sqrt{3}}{2} + \frac{\sqrt{2}}{2} = \frac{\sqrt{3} + \sqrt{2}}{2}$

Answer:

A. $\sin 60^\circ + \cos 45^\circ = \frac{\sqrt{3} + \sqrt{2}}{2}$