Question

Use a double-angle identity to find the exact value of each expression.

tan 240°

Answer 1

`\tan 240^(\circ)=(2\tan 120^(\circ))/(1-\tan^2 120^(\circ))=(-2\tan 60^(\circ))/(1-\tan^2 60^(\circ))=(-2\sqrt 3)/(1-(\sqrt 3)^2)=\boxed{\sqrt 3}`