The coefficient of x in `|(sin x,2,tan x),(1,2,3),(cos x,x^2,1)|` is

The coefficient of x in det[[sin x,2,tan x1,2,3cos x,x^(2),1]] is

(tan3x)/(tan x)=(2cos2x+1)/(2cos2x-1)

Find the differential coefficient of sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)/(1-x^2)) .

(sin2x)/(1+cos2x)=tan x

Find the differential coefficient of sin^(-1)((2x)/(1+x^(2))) with respect to tan^(-1)((2x)/(1-x^(2)))

The differential coefficient of tan^(-1)((2x)/(1-x^2)) w.r.t. sin^(-1)((2x)/(1+x^2)) is equal to.........

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

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

(1+sin x+cos x+sin2x+cos2x)/(tan2x)=0