SOLUTION: Find the exact value of the expression. tan(5π/6) − tan(π/6) / 1 + tan(5π/6)tan(π/6)

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Question 921342: Find the exact value of the expression.
tan(5π/6) − tan(π/6)
/
1 + tan(5π/6)tan(π/6)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value of the expression.
tan(5π/6) − tan(π/6)/1 + tan(5π/6)tan(π/6)
Identity: tan(x-y)=(tanx-tany)/(1+tanxtany)
tan(5π/6)−tan(π/6)/1+tan(5π/6)tan(π/6)=tan(5π/6-π/6)=tan(4π/6)=tan(2π/3)