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

If f(x)=(1+x)/(1-x) , show that f|f(tantheta)]=-cottheta.

If f: R to R is defined by f(x)=(1-x^(2))/(1+x^(2)) then show that f(tantheta)=cos2theta.

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

If f(x)=2xsqrt(1-x^(2)) , then show that f(sin""(x)/(2))=sinx .

If f(x)=(4^(x))/(4^(x)+2) , then show that f(x)+f(1-x)=1

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

Let f:[-1,1] to R_(f) be a function defined by f(x)=(x)/(x+2) . Show that f is invertible.

If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , provided that x!=-3/2dot

If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , provided that x!=-3/2dot

If f(x)=1/pi int_0^(pi/2) sin^2(ntheta)/sin^2theta d(theta) then evaluate (f(15)+f(3))/(f(15)-f(9))