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.

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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(2103)   (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

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