trig equations (1 Viewer)

jemsta

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hey does anyone know how to solve from 0≦@≦2pi
4cos2x=3sec2x?
 

word.

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multiply both sides by cos2x
divide both sides by 4
square root both sides
 

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azn_gangsta81 said:
hey does anyone know how to solve from 0≦@≦2pi
4cos2x=3sec2x?
4cos2x=3sec2x
4cos2x=3/cos2x
4cos²2x=3
cos²2x=3/4
cos2x=+-√3/2
2x=π/6, 5π/6, 7π/6, 11π/6, 13π/6, 17π/6, 19π/6 23π/6
x=π/12, 5π/12, 7π//12, 11π/12, 13π/12, 17π/12, 19π/12, 23π/12
 
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