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If g(x)""=int0xcos4t"dt" , then g(x""+pi...

If `g(x)""=int0xcos4t"dt"` , then `g(x""+pi)` equals: (1) `(g(x)/(g(pi)` (2) `g(x)+g(pi)` (3) `g(x)-g(pi)` (4) `g(x)dotg(pi)`

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`g(x) = int_0^x cos 4t dt`
`= (sin 4 t)/4 |_0 ^x`
`=(sin 4 x)/4 `
`g(x + pi) = (sin 4x + 4 pi)/4 `
`= sin(2xx 2 pi + 4 x)/4`
`= (sin 4x)/4`
option 1 & 2 are correct answers
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