Simplify a complex trigonometric equation resulting from constraint solving

Bendesarts just a moment. 0 answers, 0 views
simplifying-expressions trigonometry

In the solving of mechanical constraints, I often meet complex trigonometric equation that I have to simplify.

Here the equation I would like to simplify :

Mathematica notebook presenting the equation

Can you help me to simplify this equation ?

I would like only cos and sin in the equation (with no more tan, Cotan or Sec functions) and gather the kinematic variables (the functions depending of time) the more possible in the cos and sin functions such as cos(gamma1(t)+psi1(t)).

Here the target that I would like to obtain (made with maple for the moment and I hope to do this with mathematica):

Target of the simplifications that I would like to obtain

Thanks a lot for your help.

P.S: I put a file attached because the equation is quiet long and have subscripts in the notation which make the equation not nice to present

No Answers Yet


HighResolutionMusic.com - Download Hi-Res Songs

1 Martin Garrix

Yottabyte flac

Martin Garrix. 2018. Writer: Martin Garrix.
2 Alan Walker

Diamond Heart flac

Alan Walker. 2018. Writer: Alan Walker;Sophia Somajo;Mood Melodies;James Njie;Thomas Troelsen;Kristoffer Haugan;Edvard Normann;Anders Froen;Gunnar Greve;Yann Bargain;Victor Verpillat;Fredrik Borch Olsen.
3 Sia

I'm Still Here flac

Sia. 2018. Writer: Sia.
4 Blinders

Breach (Walk Alone) flac

Blinders. 2018. Writer: Dewain Whitmore;Ilsey Juber;Blinders;Martin Garrix.
5 Dyro

Latency flac

Dyro. 2018. Writer: Martin Garrix;Dyro.
6 Cardi B

Taki Taki flac

Cardi B. 2018. Writer: Bava;Juan Vasquez;Vicente Saavedra;Jordan Thorpe;DJ Snake;Ozuna;Cardi B;Selena Gomez.
7 Bradley Cooper

Shallow flac

Bradley Cooper. 2018. Writer: Andrew Wyatt;Anthony Rossomando;Mark Ronson;Lady Gaga.
8 Halsey

Without Me flac

Halsey. 2018. Writer: Halsey;Delacey;Louis Bell;Amy Allen;Justin Timberlake;Timbaland;Scott Storch.
9 Lady Gaga

I'll Never Love Again flac

Lady Gaga. 2018. Writer: Benjamin Rice;Lady Gaga.
10 Kelsea Ballerini

This Feeling flac

Kelsea Ballerini. 2018. Writer: Andrew Taggart;Alex Pall;Emily Warren.
11 Mako

Rise flac

Mako. 2018. Writer: Riot Music Team;Mako;Justin Tranter.
12 Dewain Whitmore

Burn Out flac

Dewain Whitmore. 2018. Writer: Dewain Whitmore;Ilsey Juber;Emilio Behr;Martijn Garritsen.
13 Bradley Cooper

Always Remember Us This Way flac

Bradley Cooper. 2018. Writer: Lady Gaga;Dave Cobb.
14 Little Mix

Woman Like Me flac

Little Mix. 2018. Writer: Nicki Minaj;Steve Mac;Ed Sheeran;Jess Glynne.
15 Charli XCX

1999 flac

Charli XCX. 2018. Writer: Charli XCX;Troye Sivan;Leland;Oscar Holter;Noonie Bao.
16 Rita Ora

Let You Love Me flac

Rita Ora. 2018. Writer: Rita Ora.
17 Diplo

Electricity flac

Diplo. 2018. Writer: Diplo;Mark Ronson;Picard Brothers;Wynter Gordon;Romy Madley Croft;Florence Welch.
18 Jonas Blue

Polaroid flac

Jonas Blue. 2018. Writer: Jonas Blue;Liam Payne;Lennon Stella.
19 Lady Gaga

Look What I Found flac

Lady Gaga. 2018. Writer: DJ White Shadow;Nick Monson;Mark Nilan Jr;Lady Gaga.
20 Avril Lavigne

Head Above Water flac

Avril Lavigne. 2018. Writer: Stephan Moccio;Travis Clark;Avril Lavigne.

Language

Popular Tags