`sqrt((tan x)/(sin x cos x))`

int(sqrt(tan x))/(2*sin x*cos x) is equal to

If cos x = (12)/( 13) and x is an acute angle, then sqrt((1 + (sin x)/(cos x))( 1- tan x)) is

int(2sin x)/((3+sin2x))dx is equal to (1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(2sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(4)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+cnone of these

What is the value of (tan x)/((sin^3 x)/(cos x) + sin x cos x )

lim_(x rarr0)(sqrt(1+tan x)-sqrt(1-tan x))/(sin x)=

If f(x)=|(10(sqrt(cos x)-sqrt(sin x))(sqrt(cos x)+ sqrt(sin x)))/(cos x+ sin x)| then number of natural numbers in the range of f(x) is

If (sin x + cos x)/(sin x - cos x) = (6)/(5) , then the value of (tan^(2) x + 1)/(tan^(2) x-1) is :

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

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

If 0