1.

Differentiate.(cos 3x-cosx)/(cos5x-cos3x)

Answer»

Solution :`y=(cos3x-cosx)/(cos5x-cos3x)=(-2sin2xcdot sinx)/(-2sin4xcdot SIN2X)`
`=(sin2x)/(SIN4X)=1/(2cos2x)`
`=1/2sec2x`
`thereforedy/dx=1/2sec2xcdottan2xcdot2`
`=sec2x TAN 2x`


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