If `2| alpha|+3| beta|=6,` then find the minimum value of `alpha^(2)+beta^(2)-12 alpha cos theta-12 beta sin theta+36,` where `theta in R`

If sin alpha cos beta=-(1)/(2) then find the range of values of cos alpha sin beta

If alpha and beta are the solution of a cos theta + b sin theta = c , then

If alpha and beta are zeroes of the polynomial 3x^(2)+6x+1 , then find the value of alpha+beta+alpha beta .

If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^2(alpha-beta) + 2ab cos(alpha-beta)

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

If alpha+beta+gamma=2 theta ,then cos theta + cos(theta - alpha) + cos(theta - beta) + cos(theta - gamma) =

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)

If sec alpha is the average of sec(alpha - 2beta) and sec(alpha + 2beta) then the value of (2 sin^2 beta - sin^2 alpha ) where beta!= n pi is

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

If cos alpha = (3)/(5) , cos beta = (4)/(5) , find the value of cos ""(( alpha - beta)/( 2)), assuming alpha and beta to be acute angles.