If `f(x)=(1-x)/(1+x)`, then `f[ f(cos2 theta)]=`

if f(x)=(1-x)/(1+x) then prove that f(cos2 theta)=tan^(2)theta

If f(x) =(1-x)/(1+x) then f(cos theta) is

If f(x)=(1-x)/(1+x), find f(cos theta)

If f(x)=sqrt((1-x)/(1+x)) , then evalaute :f(cos 2theta)

If f(x) = (1+ x)/(1-x) , show that f(f (tan theta)) = - cot theta .

If f(x)=(1-x^(2))/(1+x^(2)) then show that f(tan theta)=cos2 theta

If f(x)=(1-x^(2))/(1+x^(2)) , then prove that: f(tan theta)=cos 2theta

If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

(i) If f(x) = x + (1)/(x) prove that: [f(x)]^(3) = f(x^(3)) + 3f ((1)/(x)) (ii) If f(x) = x^(3) - (1)/(x^(3)) , prove that f(x) + f((1)/(x)) = 0 (iii) If f(x) = (1-x^(2))/(1+ x^(2)) , prove that f (tan theta) = cos 2 theta

If f(x)=log((1+x)/(1-x)), then (a) f(x_(1))f(x)=f(x_(1)+x_(2))(b)f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^(2)+x)(d)f(x_(1))+f(x_(2))=f((x_(1)+x_(2))/(1+x_(1)x_(2)))