then The Values Of θ Form A Series In

The number of solutions of the equation tan x.tan 4x = 1 for 0 < x < π is

If n be the number of solutions of the equation 

The values of x between 0 and 2π which satisfy the equation

 are in A.P. The common difference of the A.P. is

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

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