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

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

Find all the values of the parameters c for which the inequality has at least one solution. 1+log_(2)(2x^(2)+2x+7/2)gelog_(2)(cx^(2)+c) .

Find the number of integral value of n so that sin x(sin x+cos x)=n has at least one solution.

Find the value of x for which sec^(-1)x+sin^(-1)x=(pi)/(2)

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 value of : sin (sin^(-1) x + cos^(-1) x)

Find the no.of integral values of k for which the equation 7cos x+5sin x=2k+1 has atleast one solution.