If `x_1, a n dx_2` are the roots of `x^2+(sintheta-1)x-1/2(cos^2theta)=0,` then find the maximum value of `x_1^2+x_2^2`

If x_(1) and x_(2) are the roots of x^(2)+(sin theta-1)x-(1)/(2)cos^(2)theta=0 then maximum value of x_(1)^(2)+x_(2)^(2) is equal to

If 2cos theta=x+1/x then 2cos^2 theta=

Let x_(1) and x_(2) be the real roots of the equation x^(2)-(k-2)x+(k^(2)+3k+5)=0 then the maximum value of x_(1)^(2)+x_(2)^(2) is

Let x_1 and x_2 be the real roots of the equation x^(2) -kx +(k^(2) +7x+15)=0 if the maximum value of (x_1^(2) + x_2^(2)) is (18)/(x) , then find the value of x .

If x+(1)/(x)=2cos theta, then the value of x^(n)+(1)/(x^(n))

If x + iy = (1)/(1-cos theta + 2 i sin theta), theta ne 2n pi, n in I , then maximum value of x is

If 2 cos theta=x+(1)/(x) , find the value of 2cos 3 theta

If cos ec theta=2x and cot theta=(2)/(x), find the value of 2(x^(2)-(1)/(x^(2)))

If y=cos^(-1)((1-x^(2))/(1+x^(2))) , then find the value of dy/dx

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))