" 61.(a) "(log(cos x))/(tan(log x))

Differentiate : (log(cos x))/(tan(log x))

log {log (cos x}

If (cos x)^y = (cos y)^x then show that (dy)/(dx) = (y tan x+log cos y)/(x tan y+log cos x).

If x in(0,(pi)/(2))-{1,(pi)/(4)} then the expression (log_(cos x)(x)*log_(tan x)(x))/(log_(cos x)(x)+log_(tan x)(x)) simplifies to

Evaluate: (i) int(sec x)/(log(sec x+tan x)dx) (ii) int(cos ecx)/((log tan x)/(2))dx

The value of lim_(x to 0) (log(sin 5x + cos 5x))/(tan 3x) is equal to

The value of lim_(x to 0) (log(sin 5x + cos 5x))/(tan 3x) is equal to

int (tan x)/(log (cos x))dx

(d)/(dx)[log((x)/(e^(tan x)))]=

int(log(1+cos x)-x tan((x)/(2)))dx