Question

What is the exact value of tan (-pi/3)?

Answer 1

tan(−π3)tan(-π3)Find the value using the definition of tangent.tan(−π3)=oppositeadjacenttan(-π3)=oppositeadjacentSubstitute the values into the definition.tan(−π3)=−√3212tan(-π3)=-3212Simplify the result.Tap for more steps...−√3

Answer 2

Answer:

$-\sqrt{3}$

Step-by-step explanation:

we know that

$tan(-\frac{\pi}{3})=-tan(\frac{\pi}{3})$

and

$tan(\frac{\pi}{3})=\frac{sin(\frac{\pi}{3})}{cos(\frac{\pi}{3})}$

remember that

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

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

substitute the values

$-tan(\frac{\pi}{3})=-\frac{(\sqrt{3}/2)}{(1/2)}\\ \\=-\sqrt{3}$