if `alpha` and `beta` the roots of `z+ (1)/(z) =2 (cos theta + I sin theta )` where `0 lt theta lt pi ` and `i=sqrt(-1)` show that `|alpha - i |= | beta -i| `

If cos theta - sin theta = (1)/(5) , where 0 lt theta lt (pi)/(4) , then

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

cos theta + sin theta - sin 2 theta = (1)/(2), 0 lt theta lt (pi)/(2)

If alpha and beta are 2 distinct roots of equation a cos theta + b sin theta = C then cos( alpha + beta ) =

If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0 , where 0 lt theta lt (pi)/2 . Then lim_(theta to 0^(+))(1/(alpha)+1/(beta)) is

Solve: sin 7 theta + sin 4 theta + sin theta = 0, 0 lt theta lt ( pi)/(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).

Let alpha and beta be the roots of the quadratic equation x^(2) sin theta - x (sin theta cos theta + 1) + cos theta = 0 (0 lt theta lt 45^(@)) , and alpha lt beta . Then Sigma_(n=0)^(oo) (alpha^(n) + ((-1)^(n))/(beta^(n))) is equal to

If pi < theta < 2pi and z=1+cos theta + i sin theta , then write the value of |z|

If tanalpha,tan beta are roots of the equation (1 + cos theta) tan^(2) x - lambda tan x = 1 - cos theta where theta in (0, (pi)/(2)) and cos^(2) (alpha + beta) = (1)/(51) then lambda is :