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Prove that:(sin5x+sin3x)/(cos5x+cos3x)=t...

Prove that:`(sin5x+sin3x)/(cos5x+cos3x)=tan4x`

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LHS `=(sin5x+sin3x)/(cos5x+cos3x)`
`=(2sin(5x+3x)/(2)cos(5x-3x)/(2))/(2cos(5x+3x)/(2)cos(5x-3x)/(2))`
`=(2sin4xcosx)/(2cos4xcosx)`
`=(sin4x)/(cos4x) = tan4x`= RHS. Hence Proved.
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