Question

What is tan 11pi/6?
Please help

Answer 1

the answer of the question is (a)

−

√

3

3

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Answer 2

Given :  Tan ( 11π/6)

To find : Value of Tan ( 11π/6)

Solution:

Tan ( 11π/6)

= Tan ( (12π - 11π)/6)

= Tan ( 2π  - π/6)

using Tan ( A - B) = (Tan A - TanB)/(1 + TanATanB)

A = 2π   B = π/6

= (Tan 2π - Tan π/6)/( 1 + Tan2π * Tan(π/6)

Tan 2π = 0

=> ( 0 - Tan π/6)/(1  + 0)

= - Tan π/6

Tan π/6 = √3/3

= - √3/3

option A is correct

Tan ( 11π/6) = - √3/3

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