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

`-√(3)`

Explanation:

we know that

`tan(-(\pi)/(3))=-tan((\pi)/(3))`

and

`tan((\pi)/(3))=(sin((\pi)/(3)))/(cos((\pi)/(3)))`

remember that

`cos((\pi)/(3))=(1)/(2)`

`sin((\pi)/(3))=(√(3))/(2)`

substitute the values

`-tan((\pi)/(3))=-((√(3)/2))/((1/2))\\ \\=-√(3)`