OBJECTIVE MATHEMATICS IA PA TRIGONOMETRIC EQUATIONS 9. The general solution x for the equation goosx2.30s 1%30 is b) nt/2;neZ d) (2n+1)t/2;neZ c) 2n;neZ a) nt;neZ 10. The general values of 6 satisfying the equation 2 sin e-3 sin 0-2 0 is (nEZ) d) t +(-1)"7x/6 a) nt+(-1)" (-/6) c) nt +(-1)" 5T/6 b) nt +(-1)" t/2 11. 3/3 sin x+ cos x+3/3 sin x cos.x =1 b) x+(2k+1)M -Ux= 2mt, me I,kel 3 TC a) x+(2k+1)T -Ux=2mt, me1,kel TC Ux= 2mt,m e1,keI c) x+(2k +1)T -Ux= 2mT, meI,kel 4 d) x+(2k +1)T - 12. If 4cot 20 = cot?0- tan? e then 0= c) nn+ 4 d) (2n+1)+neZ TO a) nt t 6. b) nt t 13. The values of xe(-T, T) which satisfy the equation cosa cos x +cos"st-4 a) tt/4,+2T/3 b) tn/6,+2n/3 c) /3,2/3 d) tt/2,+2n/3 14. If 3sin x +4 cos ax =7 has at least one solution, then the possible values of a as 4m 2m 3m c) 2n+1 2m a) 4n+1 b) 2n+1 d) 4n+1 15. The solution of 4sin x+tan x+ cos ec x+ cotx-6 =0 is (ne Z a) n + 4 b) 2nn t 4 TC c) nt + 3. TC d) nt -- 6. Pa 16. The solution of the system of equations x+y=2n/3 and cos x+cos y = 3/2 where x and y are le a) x = T, y =-T/3 b) x= -T/3,y = Tt c) o d) 4 17. If log,6/10 (sin 3x+sin x)= log-62)/10 (sin2.x) then x= 25 5n b) 5n c) 3 a) d) 3. More than one correct answer type questions V3 18. If 8sinx%3D cos X then x= sin x 26. TC a) nn + 6. b) nn +n IT neZ c) d) 19. Which of the follwoing set of values of x satisfies the equation 2(2sin r-3 sin x+1). 12 neZ --- 6. b) x= n +2(2-2 sin r+ a) x= Nt t ,neI c) x= nt,neI EL 74 ELITE SERIES for Sri Chaitonu