3sin x+4cos x=5rArr6tan(x)/(2)-9tan^(2)(x)/(2)=

3sinx+4cosx=5implies6tan""(x)/(2)-9tan^(2)""(x)/(2) =

If 3sin x+4cos x=5, then 6(tan)(x)/(2)-9(sin)^(2)(x)/(2)=

3 sin x+ 4 cos x= 5implies 6 tan""(x)/(2)-9 tan^(2)""(x)/(2)=

Lim_(x rarr 0)(tan(x)/(2)-tan(x)/(3)-tan(x)/(6))/(sin^2(x)(e^x-1))

If tan x^(circ)=(3)/(4), piltxlt(3 pi)/(2) , find the value of sin (x)/(2), cos (x)/(2) and tan (x)/(2) .

Evaluate the following integrals: int{3sin x-4cos x+(5)/(cos^(2)x)-(6)/(sin^(2)x)+tan^(2)x-cot^(2)x}dx

Evaluate: (i) int(1-cos x)/(1+cos x)dx (ii) int{3sin x-4cos x+(5)/(cos^(2)x)-(6)/(sin^(2)x)+tan^(2)x-cot^(2)x}dx

Prove that, tan^(-1)((3 sin 2x)/(5+3 cos 2x))+tan^(-1)((1)/(4) tan x)=x .

lim_(x rarr0) (tan(x/2)-tan(x/3)-tan(x/6))/((sinx)^2(e^x-1))