(" vili ")f(x)=(sin12x)/(1+cos^(2)6x)

Find the fundamental period of the following function: f(x)=(sin12x)/(1+cos^(2)6x)

Find the fundamental period of the following function: f(x)=(sin12x)/(1+cos^(2)6x)

Find the period of the functions (where [ * ] denotes greatest integer function) f(x) = (sin 12 x )/(2cos^(2) 6x-1)

Let (d)/(dx)(f(x))=((sin^(12)x-cos^(12)x)/((sin^(2)x-cos^(2)x)(1-3sin^(2)x cos^(2)x))) be such that f(0)=0 then f((pi)/(2)) equals (k pi)/(16). Find the value of k(k in N)

f_(1)(x)=sin^(-1)(cos(sin^(2)x)),f_(2)(x)=cos^(-1)(sin(cos^(2)x)),f_(3)(x)=sin^(-1)(cos^(2)x)),f_(4)(x)=cos^(-1)(sin^(2)x)* Then which of the following is/are correct?

The function f(x) given by f(x)=(sin 8x cos x-sin6x cos 3x)/(cos x cos2x-sin3x sin 4x) , is

The function f(x) given by f(x)=(sin 8x cos x-sin6x cos 3x)/(cos x cos2x-sin3x sin 4x) , is

If f(x) = |(1+sin^(2)x,cos^(2)x,4 sin 2x),(sin^(2)x,1+cos^(2)x,4 sin 2x),(sin^(2)x,cos^(2)x,1+4 sin 2x)| What is the maximum value of f(x)?

If f(x)=|(sin^(2)x, cos^(2)x,1),(cos^(2)x,sin^(2)x,1),(-10,12,2)| , then intf(x)dx=

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))