priscila1488 priscila1488
  • 04-06-2019
  • Mathematics
contestada

Find exact solutions of
[tex] \cos(2x + \sqrt{3 } ) = - \cos(2x) [/tex]
for
[tex]0 \leqslant x \leqslant 4\pi[/tex]
​

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 04-06-2019

Answer:

Step-by-step explanation:

cos(2x+√3)+cos 2x=0

2 cos (2x+√3+2x)/2 cos (2x+√3-2x)/2=0

or cos(2x+√3/2) cos √3/2=0

or cos (2x+√3/2)=0=cos (2n+1)π/2

or 2x+√3/2=(2n+1)π/2

or x=(2n+1)π/4+√3/4

x=π/4+√3/4=(π+√3)/4,(3π+√3)/4,(5π+√3)4,(7π+√3)/4,(9π+√3)/4,(11π+√3)/4,(13π+√3)/4,(15π+√3)/4

(4π=4×3.14=12.56 nearly)

or

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