SOLUTION: If tanθ = 3, find the value of: tanθ + tan(θ + π) + tan(θ + 2π) I know the answer is 9, I'm just not sure how to get there. Please help.

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: If tanθ = 3, find the value of: tanθ + tan(θ + π) + tan(θ + 2π) I know the answer is 9, I'm just not sure how to get there. Please help.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 167379This question is from textbook Precalculus
: If tanθ = 3, find the value of:
tanθ + tan(θ + π) + tan(θ + 2π)
I know the answer is 9, I'm just not sure how to get there. Please help.This question is from textbook Precalculus

Answer by oscargut(686) About Me  (Show Source):
You can put this solution on YOUR website!
tan(a)=tan(a+pi)=tan(a+2pi) so
tan(a)+tan(a+pi)+tan(a+2pi)=3+3+3=9