Question

F(x)= 2x/1+x^2 . Show that F(tan theta )=sin2 theta

Answer 1

As we have,

f (×) = 2x/1+x^2

thus
f (tan@) =2tan@/1+tan^2@ .........1

we know that,

sin2@ = 2tan@/1+tan^2@ ............2

from equation 1&2 we can conclude,

f (tan@) = 2tan@/1+tan^2@ = sin2@ (proved)


you can replace @ by theta.

Answer 2

As we have,

f (×) = 2x/1+x^2

thus

f (tan@) =2tan@/1+tan^2@ .........1

we know that,

sin2@ = 2tan@/1+tan^2@ ............2

from equation 1&2 we can conclude,

f (tan@) = 2tan@/1+tan^2@ = sin2@ (proved)

you can replace @ by theta.