Respuesta :

[tex]\bold{Answer}[/tex]

[tex]\boxed{\bold{\Rightarrow \ \mathrm{True}}}[/tex]

[tex]\bold{Explanation}[/tex]

  • [tex]\bold{Prove: \ \sin \left(8x\right)=2\sin \left(4x\right)\cos \left(4x\right)}[/tex]

[tex]\bold{------------------}[/tex]

  • [tex]\bold{Manipulating \ Left \ Side: \ \sin \left(8x\right)}[/tex]

[tex]\bold{\sin \left(2\cdot \:4x\right)}[/tex]

  • [tex]\bold{Use \ The \ Following \ Identity: \ \sin \left(2x\right)=2\cos \left(x\right)\sin \left(x\right)}[/tex]

[tex]\bold{2\cos \left(4x\right)\sin \left(4x\right)}[/tex]

  • [tex]\bold{Two \ Sides \ Can \ Take \ The \ Same \ Form}[/tex]

[tex]\bold{\Rightarrow \ \mathrm{True}}[/tex]

[tex]\boxed{\bold{Eclipsed}}[/tex]

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