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

If point (alpha ,beta) is the mid point A (2 sin theta , cos theta)and B(sin theta,2 cos theta) then what is the value of alpha^(2)+beta^(2) ?

If alpha and beta are roots of the equation a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

If alpha and beta are roots of the equatioin a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

If alpha and beta are roots of the equatioin a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

If ( cos 2 alpha+ isin 2alpha)(cos 2 beta+ isin 2 beta)= cos theta+isin theta , then find the value of theta .

If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then one of the values of tan ((theta )/(2)) is

If alpha, beta are the roots of the quadratic equation x^(2)-2(1-sin 2theta) x-2 cos^(2) 2 theta=0, (theta in R) then find the minimum value of (alpha^(2)+beta^(2)) .

If alpha, beta (alpha ne beta) satisfy the equation a cos theta + b sin theta=c then the value of tan ""(alpha + beta)/(2) is-

If cos alpha + cos beta = 3/2 and sin alpha + sin beta = 1/2 and theta is the arithmetic mean of alpha and beta then sin 2 theta + cos 2 theta

If cos theta = (cos alpha - cos beta)/(1-cos alpha cos beta) , then one of the values of tan((theta)/(2)) is