Seudónimo Seudónimo
  • 22-02-2021
  • Mathematics
contestada

condition (0°≤A≤360°)
sin5A+sin3A=cos2A-cos6A​

Respuesta :

Аноним Аноним
  • 25-02-2021

Answer:

sin5A+sin3A=cos2A-cos6A

2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)

[tex] \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1[/tex]

[tex] - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1[/tex]

-1/2sinA=1

-1/2=sinA

sinA=sin(180+30),sin(330)

:.A=210,330

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