[" 3.If "x_(1)" and "x_(2)" are the roots of "x^(2)+(sin theta-1)x-1/2cos^(2)theta=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 x_1, a n dx_2 are the roots of x^2+(sintheta-1)x-1/(2cos^2theta)=0, then find the maximum value of x1 2+x2 2dot

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

If x in[-1,0], then find the value of cos^(-1)(2x^(2)-1)-2sin^(-1)x

If alpha and beta are the roots of the equation (1)/(2)x^(2)-sin2 theta x+cos2 theta=0, then the value of (1)/(alpha)+(1)/(beta) is:

If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x