Find the values of `a` for whilch the equation `sin^4x+asin^2x+1=0` will have a solution.

Find the value of a for which the equation a sin(x+(pi)/(4))=sin2x+9 will have real solution.

Find the values of p for which the equation 1+p sin x=p^(2)-sin^(2)x has a solution

Prove that the equations sin x*sin2x*sin3x=1 have no solution.

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has all real solutions

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has no real solution

Find the number of integral values of lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has two real solutions

Find the general solution of the equation sin2x+sin4x+sin6x=0 .

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution