IN my book it is written,

If H(x) = F(x) + g(x) and period of f and g are t1 and t2 respectively, and H(x) is EVEN, the period oh H(x) is

But i say if H(x)= cosx + |sinx| , then period acc to ma book shud be PI , but i  think it is 2Pi.

So where's d fault??

plz reply

Like H(x) = sin²x + cos²x ?