If `cot(theta-alpha),3cottheta,"cot"(theta+alpha)` are in A.P. and `theta` is not an integral multiple of `pi/2,` then the value of `(4sin^2theta)/(3sin^2alpha)=` _________

If cot(theta-alpha),3cot theta,cot(theta+alpha) are in A.P. and theta is not an integral multiple of (pi)/(2), then the value of (4sin^(theta)theta)/(3sin^(2)alpha)=

If cot(theta-alpha), 3cot theta, cot(theta+alpha) are in AP (where, theta != (n pi)/(2), alpha!= k pi, n , k in l ), then (2sin^(2)theta)/(sin^(2)alpha) is equal to

If sec ( theta + alpha ) , sec theta , sec (theta - alpha ) are in A.P. Then cos theta sec alpha //2=

If sec(theta-alpha), sectheta and sec(theta+alpha) are in AP, where cos alpha ne 1 then what is the value of sin^2 theta + cos alpha ?

If sin theta = nsin(theta +2alpha) then tan(theta + alpha) =

Find cot^2 theta - sin^2 alpha . .

If sin theta=3sin(theta+2 alpha), then the value of tan(theta+alpha)+2tan alpha is

If ( sin ^(3) theta)/( sin ( 2theta+ alpha )) = ( cos ^(3) theta)/( cos ( 2 theta + alpha)) and tan 2 theta = lamda tan ( 3theta + alpha) then the value of lamda is ____________.

If ( sin ^(3) theta)/( sin ( 2theta+ alpha )) = ( cos ^(3) theta)/( cos ( 2 theta + alpha)) and tan 2 theta = lamda tan ( 3theta + alpha) then the value of lamda is ____________.