====== Transformaciones Trigonométricas ======

===== Suma y Resta de Senos y Cosenos a Producto ======

A > B
  * <m 15>sinA + sinB = 2.sin({A+B}/2).cos({A-B}/2)</m>
  * <m 15>sinA - sinB = 2.cos({A+B}/2).sin({A-B}/2)</m>
  * <m 15>cosA + cosB = 2.cos({A+B}/2).cos({A-B}/2)</m>
  * <m 15>cosB - cosA = 2.sin({A+B}/2).sin({A-B}/2)</m>

observación:
en cos B + cos A puede ser:
  * <m 15>cosA - cosB = - 2.sin({A+B}/2).sin({A-B}/2)</m>

==== Propiedades ====

Si:
  * <m 15>sinA + sinB + sinC = 4.cos{A/2}.cos{B/2}.cos{C/2}</m>
  * <m 15>cosA + cosB + cosC = 4.sin{A/2}.sin{B/2}.sin{C/2}+1</m>
  * <m 15>sin2A + sin2B + sin2C = 4.sin{A}.sin{B}.sin{C}</m>
  * <m 15>cos2A + cos2B + cos2C = - 4.cos{A}.cos{B}.cos{C}-1</m>

===== Producto de senos y cosenos a suma y diferencia =====

  * <m 15>2.sinx.cosy = sin(x+y) + sin(x-y)</m>
  * <m 15>2.cosx.siny = sin(x+y) - sin(x-y)</m>
  * <m 15>2.cosx.cosy = cos(x+y) + cos(x-y)</m>
  * <m 15>2.sinx.siny = cos(x-y) - cos(x+y)</m>