𝑎 cos 𝑥 + 2 𝑏 sin 𝑥 = 𝑐, 𝑥 ∈ [− ],
has two distinct real roots 𝛼 and 𝛽 with 𝛼 + 𝛽 = . Then, the value of is _____ .
The number if all possible values of , where for which the system of equations.
(xyz) sin3= (y + 2z) cos3+ y sin3
Have a solution with is
Two parallel chords of a circle of radius 2 are at a distance apart. If the chords subtend at the centre, angles of where k > 0, then the value of [k] is
[Note: [k] denotes the largest integer less than or equal to k]
2 sin2θ − cos2θ = 0
2 cos2θ − 3 sinθ = 0
in the interval [0, 2π] is