5 multiple choice 1 point give the exact value. tan 300° -√3/3 √3 -√3 √3/3

Explanation:

Step1: Find the reference angle

Since (300^{\circ}=360^{\circ} - 60^{\circ}), the reference angle is (60^{\circ}).

Step2: Determine the sign of the tangent function

(300^{\circ}) is in the fourth - quadrant. In the fourth - quadrant, (\tan\theta=\frac{\sin\theta}{\cos\theta}), (\sin\theta<0) and (\cos\theta>0), so (\tan\theta<0).

Step3: Calculate the value

We know that (\tan60^{\circ}=\sqrt{3}), so (\tan300^{\circ}=-\tan60^{\circ})

Answer:

(-\sqrt{3}) (the option with (-\sqrt{3}))