14. Which of the following is equal to $\left(\sin 60^{\circ} \sin 30^{\circ}\right)-\left(\cos 30^{\circ} \cos 60^{\circ}\right)$ ?
I. $1 / 2$
II. 1
III. 0
IV. $\sqrt{2}$
A. I only
B. II only
C. III only
D. IV only
Solution
Step 1 :Calculate the value of \(\left(\sin 60^{\circ} \sin 30^{\circ}\right)-\left(\cos 30^{\circ} \cos 60^{\circ}\right)\)
Step 2 :The result is very close to 0, so the final answer is \(\boxed{0}\)