Question

How do you rewrite `(tan35-tan12)/(1+tan35tan12)` as a function of a single angle and then evaluate?

Answer 1

The expression can be simplified to `tan23˚ ~= 0.42`

Explanation:

This is an expansion of the formula `tan(A - B) = (tanA - tanB)/(1 + tanAtanB)`

So, `a = 35˚` and `b = 12˚`.

Hence, `(tan35˚ - tan12˚)/(1 + tan35˚tan12˚) = tan(35˚ - 12˚) = tan(23˚)`

If you want it to be evaluated, it will be a decimal approximation (this is not a special angle).

`tan(23˚) ~=0.42`

Hopefully this helps!