cos x sqrt(1-cos2x)

int (dx)/(cos x sqrt(1+cos 2x+ sin 2x))= _______+C, (0 lt x lt (pi)/(4))

lim_(x rarr0)(1-cos x sqrt(cos2x))/((e^(x)^^2-1))

lim_(x rarr0)(1-cos x sqrt(cos2x))/(x^(2))

If pi

lim_ (x rarr0) ((sqrt (1-cos x + sqrt (1-cos x + sqrt (1-cos x + ... oo))) x ^ (2)) / ()) - 1

tan^(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}

Simplest form of tan^(-1)((sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))), pi lt x lt (3 pi)/(2) is:

Prove that: (i)tan^(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}=(pi)/(4)+(x)/(2)