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 a for which the equation ||x-2|+a|=4 can have four distinct real solutions.

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

Solve the equation sin^2 x - 5 sin x + 4 = 0

Find the values of a for which sin^(-1)x=|x-a| will have at least one solution.

The number of values of a for which equations x^3+a x+1=0a n d x^4+a x^2+1=0 have a common root is a. 0 b. 1 c. 2 d. Infinite

Find the value of a if the equation 2x^2-(a+1)x+(a-1)=0 has equal roots.

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