Quantum redactiones paginae "Sinus (mathematica)" differant

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Linea 139:
Lex sinus:
 
<math> \frac{c}{\sin{\gamma}} = \frac{a}{\sin{\alpha}} </math>,
 
ergo <math> a = \frac{c\sin{\alpha}}{\sin{\gamma}} </math>,
 
ergo <math> a \approx 77,79 </math>
 
Et:
 
<math> \frac{c}{\sin{\gamma}} = \frac{b}{\sin{\beta}} </math>,
 
ergo <math> b = \frac{c\sin{\beta}}{\sin{\gamma}} </math>,
 
ergo <math> b \approx 50,77 </math>
 
===Parallelogramma===
 
Etiam aliorum figurorum geometricorum longitudines vel anguli reperiri possunt, si ea in triangulis idoneis dividuntur. Exempli gratia:
 
Cognitis
 
*altitudine <math> h = 50 </math>,
 
*area <math> A = 10000 </math> et
 
*angulo <math> \alpha = 40^\circ </math>
 
computandi sint [[parallelogramma|parallelogrammatis]] longitudines laterum atque angulus <math> \beta </math>.
 
Hoc sola definitione sinus peragi potest, quod triangulum anguli recti cum hypotenusa b atque catheta h et cum angulo <math> \alpha </math> est. Ergo, ea definitio dat:
 
<math> \sin{\alpha} = \frac{h}{b} </math>,
 
ergo <math> b = \frac{h}{\sin{\alpha}} </math>,
 
ergo <math> b \approx 77,79 </math>
 
Longitudo a ita computatur:
 
<math> A = a \cdot h </math>,
 
ergo <math> a = \frac{A}{h} </math>,
 
ergo <math> a \approx 128,56 </math>
 
==Functio sinus==
 
==Usus sinus in physica==