If `sin^(2)theta=x^(2)-3x+3` is meaningful then
find the values of x .

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 sin x = 3/5 and x lies in the second quadrant, find the values of cos x, tan x and sec x.

If sin^(-1)x+sin^(-1)y+sin^(-1)z =(3pi)/2 , then find the value of x^2+y^2+z^2

If x= 3+i , then find the value of x^(3)-3x^(2)-8x+15

If (x+1,y-2)=(3,1) , find the values of x and y.

If sin^(-1)x+sin^(-1)y =(2pi)/3 , then find the value of cos^(-1)x +cos^(-1)y

If (x+1, y-2)=(3,1) , find the values of x and y .