Period of mod cotx+ mod cosx+ mod tanx+ mod sinx is?
HI,
|sinx| has period π and |cosx| has period π so is for the rest
This is an even function and sinx, cosx are complementary.
Hence, |sinx| +|cosx| has period = 1/2 (LCM of π,π ) = π/2
Thus, period of |sinx| + |cosx| is π/2.
similarly for |tanx| +|cotx| has period = 1/2 (LCM of π,π ) = π/2
So over all period = LCM of π/2
and π/2= π/2