Question

Please help me! Just need someone to check to see if I did it correctly. Trigonometry. Sum or difference identities.
Tan(pi/12)

Answer 1

tan(4pi/12-3pi/12)

tan(pi/3-pi/4)

tan(A-B)=tanA-tanB/1+tanAtanB

tan(pi/3)-tan(pi/4)/1+tan(pi/3)tan(pi/4)

Up to this point I am getting confused. Please help?

Answer 2

@freckles @ganeshie8

Answer 3

Correct me if I'm wrong.

(Sqrt3)-(1)/1+(sqrt3)(1)

Answer 4

I think the answer is -2+sqrt3 if anyone bothers to look.