The number of solutions of the equation 2 cot 2r-3 cot 3x = tan 2r is 1) 1 2) 0 3) 2 4) 3 2. If sint + cosx -1.then x = TO 1) 2nt, (4n+1)neZ 2) nn,(4n+1),neZ 3) nn, (2n+1),ne Z 4) 2nt. (2n+1)",neZ 2 3. Number of solutions of the eqution 4(cos 2.x+cos2x+1)+ tan x(tanx-2/3)= 0 in [0,2] is 1) 0 2) 1 3) 2 4) 3 4. The number of distinct real roots of the equation tan --5 is *+x+1 1) 4 2) 5 3) 6 4) 7 5. The number of solution of the equation tanx- sec"x+1=0 in (0.10) is 1) 1 2) 2 3) 3 4) 4 6. If m and n(n >m) are positive integers, then the number of solutions of the equation nsin x= m/cos.x for xe=[0,21] is. 1) 4 2) 3 3) 2 4) I then [x= p] = Where [] represents Given x + sin y= 2009, r+ 2009cosy= 2008, where ye the greatest integer function. 1) 2008 3) 2100 4) 2010 2) 2009