1.

Let F(x)= f(x)+g(x), G(x) = f(x) - g( x) and H(x)=(f( x))/( g(x))where f(x)= 1- 2 sin ^(2)x and g(x)=cos (2x) AA f: R to [-1,1] and g, R to [-1,1] Now answer the following Which of the following is correct

Answer»

periods of `f(x), G(x)` and `F(x)` makes A.P with the common difference `pi/3`
perod of f(x), g(x) and F(x) are same and is equal to `2PI`
sum of the periods of f(x) , g(x) and F(x) is `3PI`
sum of the periods of `f(x), g(x)` and `F(x)` is `6 pi`

Answer :C


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