2. The no of solutions of the equation log, (sin x)+ log, (tan x) = log, (cos" x)+log,(cot x) in (-2t, 2T) T 5n 2) 4 4 Tt 3T 3) 4' 4 3 ST 4) 4' 4 7n TC 1) 4 4 3. If 3 tan 0-2 sin0 0 then 0 = TO 1) nt,nt+(-1)"neZ 2) nt, nt+(-1)";neZ TC 3) nt,na +(-1)"neZ 4) n, HT+(-1)"ineZ 4 4. If sin 30-sin 0=4 cos 0-2.then e= TO 1) TO neZ}U{(2n+1) 2){(2n+1) 1) 3) {(2n+1)ineZU(4n+1)-:ne Z 4) 1) Us(4n+1) S. The range of y such that the equation in x, y+cos.x sin x has a real solution is 1) [-2,2] 2) [-V2, V21 3) [-1,1] 4) [-1/2,1/2] 6. Let o and B be any two positive values of x for which 2 cos x. cos x, and 1-3eos-r are in G.P. The minimum value of la-B is TO TO 1) 2) 3) 4) 7. Determine the smallest postive value of x which satisfies the equation V1+ sin 2x -V2 cos 3x = 0 1): 4 2) 16 3) 3. 4) 8, then. 9. If the equation tan( Pcot x) = cot(P tan xr) has a solution in re(0.T)- 2) PS 4. 3) P < 4) P> 2 1) P2 n interval Numerical value type questions . Smallest positive root of the equation Vsin(1-x) = Vcos x is +k then k = 4 10. The number of non similar isosceles possible triangle's such that tanA + tanB + tanC = 100 is 11. The value of k if the equation 2 cosx+ cos 2kx = 3 has only one solution is 12. Assume that e is a rational multiple of T such that cose is a distinct rational. The number of values of cose is