Question

What does tan (-pi/3) equal?

im pretty sure it should be the negative square root of three but I'm not sure and my teacher didn't give answers. Much appreciated. thanks in advance :)

Answer 1

`-sqrt3`

Explanation:

The tangent function is an odd function, meaning `tan(-x)=-tanx`

Thus, `tan(-pi/3)=-tan(pi/3)`

Recalling that `tanx=sinx/cosx,`

`-tan(pi/3)=-sin(pi/3)/cos(pi/3)=-(sqrt3/2)/(1/2)=-sqrt3/cancel2*cancel2=-sqrt3`