Question

Please Help! Locks in 1 hour! Will give Brainlest! It's JUST 1 QUESTION

Answer 1

Look at the attachment

• The co-ordinates lie in 3 rd quadrant
• Tan is positive

$\\ \rm\Rrightarrow tan(4\pi/3)$

$\\ \rm\Rrightarrow tan(4(180)/3)$

$\\ \rm\Rrightarrow tan(60(4))$

$\\ \rm\Rrightarrow tan240$

$\\ \rm\Rrightarrow \sqrt{3}$

Answer 2

Answer:

Step-by-step explanation:

tan(4pi/3) = opposite side / adjacent side

On a unity cycle, at the point (-1/2, -sqrt(3)/2), opposite side is -sqrt(3)/2 and adjacent side is 1/2.

So tan(4π/3) = (-sqrt(3)/2) / -(1/2)

= √3