The value of (sin 1^(@) +sin 3^(@) + sin...

The value of `(sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*cos 2^(@)sin 4^(@))` is __________

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The correct Answer is:

`( 2sin 4^(@) cos 3^(@) + 2 sin 4^(@) cos 1^(@))/( cos 1^(@) cos 2^(@) sin 4^(@))`
`= (2 sin 4^(@)[ cos 3^(@) + cos 1^(@)])/(cos 1^(@) cos 2^(@) sin 4^(@))`
` = ( 4 cos 2^(@) cos 1^(@))/( cos 1^(@) cos 2^(@)) = 4`

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