SOLUTION: Find the exact value of tan(3pi/4)-tan(pi/12) divided by 1+tan(3pi/4)tan(pi/12). Would the answer be -sqrt(3)? Thanks

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of tan(3pi/4)-tan(pi/12) divided by 1+tan(3pi/4)tan(pi/12). Would the answer be -sqrt(3)? Thanks       Log On


   

Question 974665: Find the exact value of tan(3pi/4)-tan(pi/12) divided by 1+tan(3pi/4)tan(pi/12). Would the answer be -sqrt(3)? Thanks
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
%28tan%283pi%2F4%29-tan%28pi%2F12%29%29%2F+%281%2Btan%283pi%2F4%29tan%28pi%2F12%29%29
=tan%283pi%2F4+-+pi%2F12%29 (Since tan(A-B)=[tan A - tan B ] / [ 1 + tan A tan B]
=tan%282pi%2F3%29
=-sqrt%283%29