Question

If tan A = { and tan B = 3calculate and simplify the following:?tan(A - B) = +

Answer 1

We will employ the compound angle formula;

`\tan (A-B)=(\tan A-\tan B)/(1+(\tan A)(\tan B))`

We substitute the values for tanA and tanB to obtain;

`\tan (A-B)=((4)/(3)-(3)/(5))/(1-(4)/(3)((3)/(5)))`

After rearranging and simplifying, we obtain;

`\tan (A-B)=+(11)/(3)`