Can't find solutions for \tan2x=\tan x

Akash Matthews

Akash Matthews

Answered question

2022-02-27

Can't find solutions for
tan2x=tanx

Answer & Explanation

Vikki Chapman

Vikki Chapman

Beginner2022-02-28Added 8 answers

Recall that
tan(A+B)=tan(A)+tan(B)1tan(A)tan(B)
Hence,
tan(2x)=2tan(x)1tan2(x)=tan(x)
This implies tan(x)=0 or 1tan2(x)=2, 1tan2(x)=2 is not possible if xR. Hence,
tan(x)=0x=nπ

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