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The period of the function f(x)=sin(pix/3)+sin(pix/4) , is

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Solution:        Let            f(x)=p(x)+q(x),

                  Where       p(x)=sin (fracpi x3);   and   q(x)=sin (fracpi x4).

                  Now   ,         pd(p)=frac2pifracpi3=6.

               Similarly ,      pd(q)=8.

              	herefore             pd(f)=LCM6,8=24.

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Deependra Verma

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