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Prove that: (sin 5A-sin 3A)/(cos5A+cos3A...

Prove that: `(sin 5A-sin 3A)/(cos5A+cos3A)=t a n A`

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`frac{sin 5 A-sin 3 A}{cos 3 A+cos 5 A}=tan A`

`Rightarrow 2 cos (frac{5 A+3 A}{2}) sin (frac{5 A-3 A}{2})`

`= cos (frac{3 A+5 A}{2}) cos (frac{3 A-5 A}{2})`

= `tan A`.

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