The equation `p cos x - q sinx = r` admits of a solution for `x` only if :

The equation k sinx + cos2x = 2k -7 possesses a solution if :

Show that the equation , sin x =[1+ sin x]+[1- cos x] has no solution for x in R . ( where [.] represents greatest integers functions ).

The equation 8cosx cos2x cos4x = (sin6x)/(sinx) has a solution given by :

If the equation 2 cos x + cos 2 lambda x=3 has only one solution , then lambda is

x_(1) and x_(2) are two solutions of the equation e^(x) cos x=1 , The minimum number of the solution of the equation e^(x) sin x =1 , lying between x_(1) and x_(2) can be

Prove that the equation 2sinx = |x|+a has not solution for a in ((3sqrt(3)-pi)/3-oo)dot

If cos x=|sinx| then, the general solution is

Find the relation between p and q if x = 3 and y = 1 is the solution of the pair of equations x-4y+p=0" and " 3x+y-q-2=0 .

Find all the number 'a' for which any root of the equation sin 3x =a sin x +(4-2|a|)sin^(2) x is a root of the equation sin 3x + cos 2 x =1+2 sinx cos 2x and any root of the latter equation is a root of the former .

The general solution of sinx + sin 2x + sin3x = 0 is