The trigonometric expression that is equivalent to tan (5π/6) is: tan (-π/6)
How to find the equivalent trigonometric ratio?
We want to find the trigonometric expression that is equivalent to tan (5π/6)
We know that the formulas of the tangent function is:
tan x = tan (2π + x)
-tan x = tan (2π - x)
-tan x = tan (-x)
-tan x = (π - x)
tan x = tan (π + x)
Thus:
tan (5π/6) = tan ((π) - π/6)
= -tan (π/6)
= tan (- π /6 )
Complete question is:
Which of the following is equivalent to tan (5π/6) ？
tan (- 5π /6 )
tan (- π /6 )
tan ( 7π /6 )
cot ( 5π /6 )