SOLUTION: I need to find the exact value of tan40°-tan10°/1+tan40°tan10° The problem obviously has something to do with sum & difference identities but I have no idea what to do with it.

Algebra ->  Trigonometry-basics -> SOLUTION: I need to find the exact value of tan40°-tan10°/1+tan40°tan10° The problem obviously has something to do with sum & difference identities but I have no idea what to do with it.      Log On


   



Question 731805: I need to find the exact value of tan40°-tan10°/1+tan40°tan10°
The problem obviously has something to do with sum & difference identities but I have no idea what to do with it.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find the exact value of tan40°-tan10°/1+tan40°tan10°
Identity: tan(s-t)=(tan s-tan t)/(1+tan s*tan t)
tan40°-tan10°/1+tan40°tan10°=tan(40º-10º)=tan30º=√3/3