If `f(x)a n dg(x)` are periodic functions with periods 7 and 11, respectively, then the period of `f(x)=f(x)g(x/5)-g(x)f(x/3)` is (a) 177 (b) 222 (c) 433 (d) 1155

Period of f(x)=sin((cosx)+x) is

If f(x)=sinx+cosa x is a periodic function, show that a is a rational number

If f(x+1/2)+f(x-1/2)=f(x) for all x in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

If f(3x+2)+f(3x+29)=0x in R , then the period of f(x) is 7 (b) 8 (c) 10 (d) none of these

Verify that the period of function f(x) =sin^(10)x " is " pi.

Let f(x)a n dg(x) be two continuous functions defined from RvecR , such that f(x_1)>f(x_2)a n dg(x_1) f(g(3alpha-4))

If f: RrarrR and g:RrarrR are two given functions, then prove that 2min.{f(x)-g(x),0}=f(x)-g(x)-|g(x)-f(x)|

If f(x) and g(x) are continuous functions, then int_(In lamda)^(In (1//lamda))(f(x^(2)//4)[f(x)-f(-x)])/(g(x^(2)//4)[g(x)+g(-x)])dx is

Find the correct pair in the following statement : y = tan x is a periodic function with period pi Domain of cosecant function is R The period of f = g pm h is l.c.m of period of g , period of h "cosec"^(-1)x +sec^(-1) x = pi/4

If f(x)=(-1)^([2x/pi]),g(x)=|sinx|-|cosx|,a n dvarphi(x)=f(x)g(x) (where [.] denotes the greatest integer function), then the respective fundamental periods of f(x),g(x),a n dvarphi(x) are a) pi,pi,pi (b) pi,2pi,pi c) pi,pi,pi/2 (d) pi,pi/2,pi