Respuesta :

mcherr9

Answer:

sqrt3 tan(x) + 1 / sqrt3 = tan(x)

Step-by-step explanation:

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The equation tan(x- pi/6) is equal to (tanx - 1/√3)/(1 + tanx/√3) .

What is the trigonometric formula for a tangent?

The expansion formula for tangent are -  

  • tan(A + B) = (tanA + tanB)/(1 - tanAtanB)      
  • tan(A - B) = (tanA - tanB)/(1 + tanAtanB)

Using the above identity to solve the given expression -

Given equation is tan(x- pi/6) .

⇒ tan(x - π/6) = {tanx - tan(π/6)}/{1 + tanxtan(π/6)}

⇒ tan(x - π/6) = (tanx - 1/√3)/(1 + tanx/√3)

Thus, The equation tan(x- pi/6) is equal to (tanx - 1/√3)/(1 + tanx/√3) .

To learn more about trigonometric identity, refer -

https://brainly.com/question/7331447

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