" (v) "sin2x=(2tan x)/(1+tan^(2)x)

Prove that sin 2x=(2 tan x)/(1+tan^(2)x)

Prove that sin 2x =( 2tan x )/( 1+ tan ^(2) x)

If x=30o, verify that : tan2x=(2tan x)/(1-tan^(2)x) (ii) sin x=sqrt((1-cos2x)/(2))

Show that sin 2 x=2 sin x cosx=(2 tan x)/(1+tan ^(2) x)

If a sin x = b cos x =(2c tan x )/(1- tan^(2) x) " then " ((a^(2)-b^(2))^(2))/(a^2+b^(2))=

If a sin x = b cos x =(2c tan x )/(1- tan^(2) x) " then " ((a^(2)-b^(2))^(2))/(a^2+b^(2))=

Evaluate: (i) int cot^(-1)((sin2x)/(1-cos2x))dx (ii) int sin^(-1)((2tan x)/(1+tan^(2)x))dx

Show that cos 2 x=cos ^(2) x-sin ^(2) x=2 cos ^(2) x-1=1-2 sin ^(2) x=(1-tan ^(2) x)/(1+tan ^(2) x)

If y=(sin x)^(tan x), then (dy)/(dx)= (a) (sin x)^(tan x)(1+sec^(2)x log sin x)(b)tan x(sin x)^(tan x-1)cos x(c)(sin x)^(tan x)(d)sec^(2)x log sin x tan x(sin x)^(tan x-1)

sin (tan ^(-1)2x)