Prove that the equation `2 sin x=|x|+a` has no solution for `a in ((3sqrt(3)-pi)/3, oo)`.

Prove that the equation x^(log_(sqrtx^(2x)))=4 has no solution.

Find the solution of sin x =- (sqrt3)/(2).

Find the principal solutions of sin x= (sqrt(3))/(2)

Solve the equation sqrt3cos x + sin x = sqrt2 .

Find the general solutions of the equation sin x= (sqrt(3))/(2)

Consider the equaiton 2 + |x^(2) + 4x + 3|= m , m in R Set of all values of m so that the given equation have two solutions is Option 1: (3, oo) Option 2: (2,oo) Option 3: {2} uu (3,oo) Option 4: None of these

Find number of solution of the equation 2 sin x+5 sin^(2) x+8sin^(3)x+... oo=1 for x in [0, 2pi] .

find the principal and general solutions of the equation cos x=(-sqrt(3))/(2)

Prove that sin x + sin 2x + sin 3x = sin 2x (1 + 2 cos x )

The solutions of the system of equations sin x sin y=sqrt(3)/4, cos x cos y= sqrt(3)/4 are