Question

How do you simplify `(tan 5π/12 + tan (π/4))/(1 - tan (5π/12) tan (π/4))`?

Answer 1

Simplify trig expression

Ans: `tan (pi/3)`

Explanation:

Apply the trig identity: `tan (a + b) = (tan a + tan b)/(1 - tan a.tan b).`

`(tan ((5pi)/12) + tan (pi/4))/(1 - tan ((5pi)/12). tan (pi/4) =`
`= tan (pi/12 + (pi)/4) = tan ((4pi)/12) = tan (pi/3)`