The equation `1+sin^2 ax = cos x` has a unique solution then a is

The equation sin^(6)x+cos^(6)x=a , has a real solution if

If the equation 2sin x+3cos ax=5 has a solution,then a is

Prove that the equation 2 sin x+cos x=3 has no solution.

The only solution satisfying the equation 1+sin^(2)ax=cos x, where a is irrational is

Value of k for which system of equations kx + 2y = 5, 3x + y =1 has unique solution is

Show that the equation , sin x =[1+ sin x]+[1- cos x] has no solution for x in R . ( where [.] represents greatest integers functions ).

Show that the equation , sin x =[1+ sin x]+[1- cos x] has no solution for x in R . ( where [.] represents greatest integers functions ).

Show that the equation , sin x =[1+ sin x]+[1- cos x] has no solution for x in R . ( where [.] represents greatest integers functions ).

Show that x=0 is the only solution satisfying the equation 1+sin^(2) ax=cos x , where a is irrational.