Question

What are the sine, cosine, and tangent of 2pi/3 radians?

Answer 1

2pi/3 has the same Sin, Cos, & Tan as pi/3 in QI except for the SIGNS.
2pi/3 is in QII so Cos is negative and Tangent is negative, Sine is still positive.
Sin 2pi/3 = √(3) / 2
Cos 2pi/3 = -1/2
Tan 2pi/3 = -√3

Answer 2

Answer:

Sin ($\frac{2\ pi}{3}$) = $\frac{\sqrt{3}}{2}$ ,Tan ($\frac{2\ pi}{3}$) = -$\sqrt{3}$

Cos($\frac{2\ \pi}{3}$) = $\frac{1}{2}$.

Step-by-step explanation:

Given :  2pi/3 radians.

To find : What are the sine, cosine, and tangent .

Solution : We have given that $\frac{2\ pi}{3}$.

Sin ( $\frac{2\ pi}{3}$)

Sin ($\frac{2\ pi}{3}$) = $\frac{\sqrt{3}}{2}$

Tan ($\frac{2\ pi}{3}$) = -$\sqrt{3}$

Cos($\frac{2\ pi}{3}$) =  $\frac{1}{2}$.

Therefore, Sin ($\frac{2\ pi}{3}$) = $\frac{\sqrt{3}}{2}$

Tan ($\frac{2\ pi}{3}$) = -$\sqrt{3}$

Cos($\frac{2\ pi}{3}$) = $\frac{1}{2}$.