The General Solution Of The Equation  is Given By        

The number of pairs (x, y) satisfying the equations sin x + sin y = sin (x + y) and | x | + | y | = 1 is  

If 1 + sin θ + sin²θ + … to ∞ = 4 +  0 < θ < π, θ ≠ π/2, then

The smallest +ive x such that      

The general solution of the trigonometrical equation sin x + cos x = 1, for n = 0, ±1, ±2, … is given by

The general solution of equation  

The solution set of (2 cos x – 1) (3 + 2cos x) = 0 in the interval 0 ≤ x ≤ 2π is

 then the values of θ form a series in

If sin 5x + sin 3x + sin x = 0, then the value of x other than zero, lying between 0 ≤ x ≤ π/2 is

The maximum value of  in the interval  is attained when x =

Number of solutions of the given equation  lying in the interval [0, 2π] is