Question

Trigonometric identity

Prove

Sin(8x)=2sin(4x)cos(4x)

Answer 1

`\bold{Answer}`

`\boxed{\bold{\Rightarrow \ \mathrm{True}}}`

`\bold{Explanation}`

• 
  `\bold{Prove: \ \sin \left(8x\right)=2\sin \left(4x\right)\cos \left(4x\right)}`

`\bold{------------------}`

• 
  `\bold{Manipulating \ Left \ Side: \ \sin \left(8x\right)}`

`\bold{\sin \left(2\cdot \:4x\right)}`

• 
  `\bold{Use \ The \ Following \ Identity: \ \sin \left(2x\right)=2\cos \left(x\right)\sin \left(x\right)}`

`\bold{2\cos \left(4x\right)\sin \left(4x\right)}`

• 
  `\bold{Two \ Sides \ Can \ Take \ The \ Same \ Form}`

`\bold{\Rightarrow \ \mathrm{True}}`

`\boxed{\bold{Eclipsed}}`