If `g(x)=(4cos^4x-2cos2x-1/2cos4x-x^7)^(1/7)` then the value of `g(g(100))` is equal to

cos 4x = cos 2x

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4 , then the value of 2 tan^(2)x is

If cos x + cos^2 x=1 , then the value of sin ^4 x + sin ^6 x is equal to

If 5(tan^2x - cos^2x)=2cos 2x + 9 , then the value of cos4x is

if cos x=-4/5 , where x in [ 0,pi] then the value of cos (x/2) is equal to

If f(x)=(x^(2)+3x+2)(x^(2)-7x+a) and g(x)=(x^(2)-x-12)(x^(2)+5x+b) , then the value of a and b , if (x+1)(x-4) is H.C.F. of f(x) and g(x) is

If f(x) = 2x^(3)+7x-5 and g(x) = f^(-1)(x) , then reciprocal of g^(')(4) is equal to

int (cos 5x + cos 4x)/(1-2cos3x) dx

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to