Question

The equation tan(x- pi/3) is equal to _____.

Answer 1

D

Explanation:

we can use the formula of tan(A-B) to solve this equation .

The formula is

`tan(A-B)= (tanA-tanB)/(1+tanA.tanB)`

In our question , A is x and B is
`(\pi )/(3)`

so when we apply these in the question we get

`tan(x-(\pi )/(3) )=(tanx-tan(\pi )/(3) )/(1+tanx.tan(\pi )/(3) )`

Now since
`tan(\pi )/(3) = √(3)`

we get

`tan(x-(\pi )/(3) )=(tanx-√(3)  )/(1+√(3) tanx.) }`

so correct option is

D