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Adriana Ayers

Adriana Ayers

Answered question

2022-06-24

Simplify cot ( 2 α ) cot ( α ) without using the double angle formula.
I tried to solve it by the following way:
1 tan ( α + α ) 1 tan ( α ) = ( 1 + tan 2 ( α ) ) 2 tan ( α ) = 2 tan ( α ) cos 2 ( α ) .

Answer & Explanation

Raven Higgins

Raven Higgins

Beginner2022-06-25Added 17 answers

cot 2 α cot α = cos 2 α sin α sin 2 α cos α sin 2 α sin α =
= sin α sin 2 α sin α = 1 sin 2 α
Jayla Christensen

Jayla Christensen

Beginner2022-06-26Added 5 answers

( 1 + tan 2 ( α ) ) 2 tan ( α ) = 1 2 tan α cos 2 α = 1 2 sin α cos α = 1 sin ( 2 α ) .
Here we use
1 + tan 2 α = 1 cos 2 α .

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