Group Abstract

Message Boards

WOLFRAM COMMUNITY

1.2K Views

3 Replies

2 Total Likes

View groups...

Follow this post

Share this post:

GROUPS:

Mathematics Algebra Wolfram Language

How to simplify this complex equation

Claudine Walduck

Posted 6 months ago

POSTED BY: Claudine Walduck

3 Replies

Sort By:

Gianluca Gorni

Gianluca Gorni, University of Udine

Posted 6 months ago

Here is a step-by-step derivation: (E^(I v) - 1)/(E^(I v) + 1) == (1 + x)/(1 - x)*(Exp[I E] - 1)/(Exp[I E] + 1) MultiplySides[%, E^(I v) + 1, GenerateConditions -> False] Collect[%, E^(I v)] AddSides[%, 1 - %[[2, 2]]] Collect[%, E^(I v), Factor] DivideSides[%, %[[1]]/E^(I v), GenerateConditions -> False]

Here is a step-by-step derivation:

(E^(I v) - 1)/(E^(I v) + 1) ==
 (1 + x)/(1 - x)*(Exp[I E] - 1)/(Exp[I E] + 1)
MultiplySides[%, E^(I v) + 1, GenerateConditions -> False]
Collect[%, E^(I v)]
AddSides[%, 1 - %[[2, 2]]]
Collect[%, E^(I v), Factor]
DivideSides[%, %[[1]]/E^(I v), GenerateConditions -> False]

POSTED BY: Gianluca Gorni