217k views
4 votes
Tan 9x - tan 5x/ 1+ tan 9x tan 5x

User Woodley
by
9.2k points

1 Answer

6 votes

Answer:

tan 4x

Explanation:

Note the difference identity for tangent ratio is

tan(x - y) =
(tanx-tany)/(1+tanxtany)

Given


(tan9x-tan5x)/(1+tan9xtan5x) ← in the form of the right side of the expansion, thus

= tan(9x - 5x)

= tan 4x

User Murat Korkmaz
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories