Whats the exact value of tan (300°)

Question

asked Jul 26, 2018 7.1k views

2 Answers

Berat Cevik · Answer 1 · 2018-07-30T07:18:52+0000

Answer:

$Tan(300^(\circ))= - √(3)$

Explanation:

Tan (300°) can be written as Tan (360°-60°) ---1

Using identity :

$Tan(360^(\circ)-\theta)=- Tan\theta$

Using 1

So,
$Tan(360^(\circ)-60^(\circ))= - Tan60^(\circ)$

The value
$Tan60^(\circ)=√(3)$

So,
$Tan(300^(\circ))= - √(3)$

Thus the exact value of
$Tan(300^(\circ))= - √(3)$