The equation `sin x(sinx+cos x) = k` has real solutions, where k is a real number. Then

The equation sin x(sin x+cos x)=k has real solutions,where k is a real number.Then

Show that the equation sin x(sin x+cos x)=a has real solution if and only if a is a real number lying between (1)/(2)(1-sqrt(2)) and (1)/(2)(1+sqrt(2))

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

The equation sin^(6)x+cos^(6)x=a^(2) has real solutions if

The equation sin^(6)+cos^(6)=a^(2) has real solution if

The equation sin^(-1)x - 3sin^(-1)a =0 has real solutions for x if

If the equation k cos x-3sin x=k+1 has a solution for x then