If `u=cot^(-1)sqrt(cos theta) -tan^(-1)sqrt(cos theta)` then sin u=

If u=cot^(-1)[sqrt(cos2 theta)]-tan^(-1)[sqrt(cos2 theta)] then show that,cos ecu=cot^(2)theta

If u = cot^(-1) sqrt(cos 2theta) - tan^(-1) sqrt(cos 2theta) prove that sin u = tan^(2) theta . .

Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , then the value of sin u is

If sin theta+sqrt(3)cos theta>=1 then

tan(2tan^(-1)sqrt((1+cos theta)/(1-cos theta)))+tan theta=0

cos theta - sqrt3 sin theta = 1

sqrt((1+cos theta)/(1-cos theta))=csc theta+cot theta

Find sin^(-1)(sin theta),cos^(-1)(cos theta),tan^(-1)(tan theta),cot^(-1)(cot theta) for theta epsilon((5pi)/2,3pi)

Find sin^(-1)(sin theta)*cos^(-1)(cos theta),tan^(-1)(tan theta),cot^(-1)(cot theta) for theta in((5 pi)/(2),3 pi)