Question

Evaluate tan 300° without using a calculator by using ratios in a reference triangle. negative square root of three square root of three divided by three square root of three negative square root of three divided by three

Answer 1

300 - 270 = 30

so the angles is in the third quadrant  and  adjacent and opposite side are negative so  tan 300 = tan 30  = 1 / sqrt3 = sqrt3 / 3

square root of three divided by 3

Answer 2

Answer with explanation:

→0°≤Angle≤90°⇒First Quadrant

→90°≤Angle≤180°⇒Second Quadrant

→180°≤Angle≤270°⇒Third Quadrant

→270°≤Angle≤360°⇒Fourth Quadrant

Angle 300°, lies in fourth Quadrant.In Fourth Quadrant , only cosine and Secant of any angle is positive. All other trigonometric ratios are negative.

  $\rightarrow\tan 300^{\circ}=\tan (360^{\circ}-60^{\circ})\\\\= -\tan60^{\circ}\\\\=-\sqrt{3}$

Option A

negative square root of three