[" 1the 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

The most general values of theta which satisfy both the equations.sqrt(2)sin theta+1=0 and tan theta-1=0 is

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

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 x_(1),x_(2),x_(3) are the real roots of the equation x^(3)-x^(2)tantheta+xtan^(2)theta+tantheta=0and0ltthetalt(pi)/(4) then the value of tan^(-1)x_(1)+tan^(-1)x_(2)+tan^(-1)x_(3)" at "theta=(pi)/(12) is

The sum of values of theta satisfying the equation 1+cos^(4)theta=sin^(4)theta ; theta in[0,2 pi] ,is