Question

What is tan 11pie/6?

Answer 1

= - √3/3

Explanation:

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