Simplify this fraction. (sqrt(2)+e^t-e^(-t))/(sqrt(2+e^(2t)+e^(-2t)))

balafiavatv

balafiavatv

Answered question

2022-08-07

Simplify this fraction.
2 + e t e t 2 + e 2 t + e 2 t

Answer & Explanation

Malcolm Mcbride

Malcolm Mcbride

Beginner2022-08-08Added 20 answers

( 2 + e t 1 e t ) ÷ 2 + e 2 t + 1 e 2 t
= e t 2 + e 2 t 1 e t ÷ 2 e 2 t + e 4 t + 1 e 2 t
= e t 2 + e 2 t 1 e t × e 2 t ( e 2 t + 1 ) 2
= e 2 t + e t 2 1 e t × e t e 2 t + 1
= e 2 t + 2 e t 1 e 2 t + 1

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