" 8."(sin x)'+sin'sqrt(x)

Lim_(x to a) (sin x - sin a)/(sqrt(x)-sqrt(a))

sin 4x sin 8x

sin 4x sin 8x

Find (dy)/(dx), if y=(sqrt(sin x))/(sin sqrt(x))

sqrt(x) sin x+sin sqrt(x) find dy/dx

lim_(x rarr a)(sin sqrt(x)-sin sqrt(a))/(x-a)

If sin x + sin y = sqrt (3) (cos y-cos x), then sin3x + sin3y =

show that , cot ^(-1) {(sqrt(1+sin x)+sqrt(1- sin x))/( sqrt(1+sin x)- sqrt(1-sin x))}=(x)/(2),0 lt x lt (pi)/(2)

(d)/(dx) Tan^(-1)[(sqrt(1+sinx) - sqrt(1-sin x))/(sqrt(1+sin x) + sqrt(1-sin x))]=