how the formula sin(2npi+x)=sinx came.why was 2npi avoided

Hence for sin (2n$\mathrm{\pi}$ + x ) = sinx , we can take any n here and n is natural number.

Similarly it is true for cos , tan also.

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how the formula sin(2npi+x)=sinx came.why was 2npi avoided

Hence for sin (2n$\mathrm{\pi}$ + x ) = sinx , we can take any n here and n is natural number.

Similarly it is true for cos , tan also.

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