The domain of sin^-1(2x-7) is

If the sum of the squares of the roots of the equation x²-(sin α-2)x-(1+sin α)=0 is least,then α=

The general solution of sin² θ sec θ+ √3tan θ=0 is

If sin A=sin B and cos A=cos B then A=

If tan θ + tan 2θ+ √3 tan θ tan 2θ=√3 then θ=

If y=tan x cot 3x,xR,then

If α, β, γ are the angles made by a line with x, y, z axes in positive directions then the range of cos α cos β+ cos β cos γ+cos γ cos α is

If tan θ+tan (60⁰+θ) tan (120⁰+θ) =3, then θ=

If sin θ=-7/25 and  is not in the first quadrant, then (7cot θ -24 tan θ) / (7cot θ+24 tan θ) =

If tan A,tan B are the roots of x²-px+q=0,the value of sin²(A+B) is