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 number of integral values of k for which the equation 12cosx - 5 sinx = 2k+1 has a solution.

The number of integral values of k for which the equation sin ^−1 x+tan −1 x=2k+1 has a solutions is:

The number of integral values of k for which the equation 7cos x +5 sinx=2k+1 has a solution is (1) 4 (2) 8 (3) 10 (4) 12

The number of integral values of k for which the equation 7cos x +5 sinx=2k+1 has a solution is (1) 4 (2) 8 (3) 10 (4) 12

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

The number of integral values of a for which the equation cos2x+a sin x=2a-7 possessess a solution.

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The value of p for which the equation 3 " sin"^(2)x + 12 "cos" x - 3 =p has at least one solution are

Number of integral values of k for which the equation 4 cos^(-1)(-|x|)=k has exactly two solutions, is: (a) 4 (b) 5 (c) 6 (d) 7

Find the minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solutions.