`"I f"pi<2theta<(3pi)/2,"t h e n"sqrt(2+sqrt(2+2cos4theta))`

If f(x)=int_0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s f(x)+f(pi) (b) f(x)+2(pi) f(x)+f(pi/2) (d) f(x)+2f(pi/2)

A function f: R to R is defined as: f(x) ={{:(1,x in Q),(-1,x notinQ):} Evaluate each of the following: (i) f(2),f(pi)" "(ii) Range of f (iii) f^(-1)(-1)" "(iv) f^(-1)(1)

A function f: R to R is defined as: f(x) ={{:(1,x in Q),(-1,x notinQ):} Evaluate each of the following: (i) f(2),f(pi)" "(ii) Range of f (iii) f^(-1)(-1)" "(iv) f^(-1)(1)

Statement -I : f(x) = sin x then f' (pi) = f' (3pi) Statement - (ii) : f(x) = sin x then f (pi) = f (3pi)

Statement - I : for f(x)=sin x, f'(pi)=f'(3pi) Statement - II : for f(x) =sin x, f(pi)=f(3pi)

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

If f(x)=int_0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s (a) f(x)+f(pi) (b) f(x)+2(pi) (c) f(x)+f(pi/2) (d) f(x)+2f(pi/2)