" If the equation "x^(2)+4x sin theta+tan theta=0(0

If x and y are positive acute angles such that (x+y) and (x-y) satisfy the equation tan^(2) theta - 4 tan theta +1=0 , then

If x and y are positive acute angles such that (x+y) and (x-y) satisfy the equation tan^(2) theta - 4 tan theta +1=0 , then

If x and y are positve acute such that (x + y) and (x - y) satisfy the equation ta^(2) theta - 4 tan theta + 1 = 0 then

If roots of the equation 2x^(2)-4x+2sin theta-1=0 are of opposite sign then theta belongs to

Is the equation 2 sin^2 theta -cos theta+ 4 = 0 possible ?

lim _( theta to 0) ( sin 5theta)/( tan 4theta)

If the quadratic equation x^(2)+(2-tan theta)x-(1+tan theta)=0 has two x^(2)+(2-tan theta)x-(1+tan theta)=0 has two of theta in interval (0,2 pi) is k pi. Find the value of k.

If tan theta_(1), tan theta_(2) tan theta_(3) and tan theta_(4) are the roots of the equation x^(4) - x^(3) sin 2 beta + x^(2) cos 2 beta - x cos beta - sin beta = "0 then tan" (theta_(1) + theta_(2) + theta_(3) + theta_(4)) is equal to