If `tan(cottheta)= cot(tantheta)`, then prove that:
`pi(2n+1)sin2theta=4`

If tan (cot x) = cot (tan x) , prove that : sin 2x = 4/((2n+1) pi)

If tan( pi cos theta) = cot ( pi sin theta) then sin (theta + pi/4) equals

If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi//4) is equal to

In A B C , if sin^3theta=sin(A-theta)sin(B-theta)sin(C-theta) , then prove that cottheta=cot A+cot B+cotCdot

In A B C , if sin^3theta=sin(A-theta)sin(B-theta)sin(C-theta) , then prove that cottheta=cot A+cot B+cotCdot

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

If sin[(pi)/(4)cottheta] = cos[(pi)/(4)tantheta] then theta can be :

y=1/((1+tan theta)^(sin theta-cos theta)+(cot theta)^(cos theta-cot theta))+ 1/((1+tan theta)^(cos theta-sin theta)+(cot theta)^(sin theta-cottheta)) +1/((1+tan theta)^(cos theta-cot theta)+(cot theta)^(cot theta-sin theta)) then (dy)/(dx) at theta=pi/3 is

If tan^(-1)(cottheta)=2\ theta , then theta= (a) +-pi/3 (b) +-pi/4 (c) +-pi/6 (d) none of these

If tan ((p pi)/4)=cot ((qpi)/4) , then prove that p+q=2(2n+1), n in Z .