Question

porfa me ayudan :(.......

Answer 1

Hola (｡•̀ᴗ-)✧

Respuesta:

a) 2

Explicación paso a paso:

sen2x = sen²8x ·cosx

2senxcosx = sen²8x ·cosx

2senx = sen²8x

E = senx+sen15x + sen3x + sen13x + sen5x + sen11

E = 2sen(8x)·cos(7x) + 2sen(8x)·cos(5x) + 2sen(8x)cos(3x)....

E = 2sen(8x) [ cos7x + cos5x + cos3x + cosx ]

E= 2sen(8x) [ 2cos4xcos3x + 2cos4xcosx ]

E = 2sen(8x) [ 2cos4x( cos3x+cosx) ]

E = 4sen(8x)·cos(4x) [ cos3x+cosx]

E = 4sen(8x)·cos(4x) [ 2cos(2x)·cos(x) ]

E= 8sen(8x)·cos(4x)·cos(2x)·cos(x)

E = sen8x ( 8cos4x·cos2x·cosx·senx)/senx

E = sen8x·(sen8x)/senx

E = sen²8x/senx

E = 2senx/senx

E = 2