If `0 lt theta lt π/4`, then Simplest Form of `√(1-2sin theta cos theta)` is​ ?

If 0 lt theta lt pi//2 then .find the least value of tan theta + cot theta

If tan theta = a/b , where 0lttheta lt pi/4 and bgtagt0 , find the value of sin 2theta, cos 2theta and tan 2theta.

Let n ge 2 be a natural number and 0 lt theta lt (pi)/(2) , Then, int ((sin^(n)theta - sin theta)^(1/n) cos theta)/(sin^(n+1) theta)d theta is equal to (where C is a constant of integration)

If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. cosec theta+cot theta , b. cosec theta - cot theta , c. cot theta-cosec theta , d. -cosectheta - cot theta

If -pi lt theta lt -(pi)/(2)," then " |sqrt((1-sin theta)/(1+sintheta))+sqrt((1+sin theta)/(1-sin theta))| is equal to :

For -pi/2 lt theta lt pi/2, (sintheta + sin 2theta)/(1+costheta + cos2theta) lies in the interval

If f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta))) , where -pi/4 lt theta lt pi/4, then the value of d/(d(tantheta))\ f(theta) is

If (pi)/(2) lt theta lt pi , then possible answers of sqrt(2+sqrt(2+2cos4theta)) is/are :

If cos theta = (2x)/(1+x^2) , find the values of sin theta and cot theta [Given x^2 lt 1 ]

If sec theta = sqrt(2) and (3pi)/2 lt theta lt 2pi , find the value of (1+tan theta + cosec theta)/(1-cot theta - cosec theta) .