" 6."quad " (i) "log tan x

(d)/(dx)(log tan x)

(i)tan (logx)" "(ii)log sec x" "(iii) log sin.(x)/(2)

The value of log(tan 10^(@)) + log (tan 20^(@)) + log (tan 45^(@)) + log (tan 70^(@)) + log(tan 80^(@)) = ______.

derivative of log tan x

(i) int tan dx=log |secx|+c (ii) int cot x dx=log |sin x|+c (iii) int tan x dx=log |sin x| +c (iv) int tan x dx =-log cos x +c

If x in R and n in I then the determinant sin(n pi),sin x-cos x,log tan xcos x-sin x cos{(2n+1)(pi)/(2)},log cot xlog cot x,log tan x,tan(n pi)]|=

(i) int(sec x* cosec x)/(log cot x) dx (ii) int tan^(4) x\ dx