OBJECTIVE MATHEMATICS IA PA TRIGONOMETRIC EQUATIONS 10. If sec 40-sec 20 2 then 0= T;nEZ 3) n+ 4 4) n+ nEZ 1) n+T;n e Z 2. 2) n+TC;n E Z 3. 11. If sin0+cos 0=/2 cos 4 then 0= 1) 2n +tA;VneZ 2)2nn+A;Vne Z 3)2nT+A;VneZ 4)2nt+-A 12. The general solution of tan 0+ tan 20 + tan 30 = 0 is 2) 0 = na,n e Z ,where tan a = 1/7 1) 0=nt/6, ne Z only 4) 0 = nta,neZ, where tan a = only 3) Both 1 and 2 5 13. S, : If tan p0 = cot g0 then 0 (2n+1)T 2(P+q) ,NEZ 2 # TC S, : If tan(Tsin0) = cot(T cos 0), then sin 0+ 4 %3D 2/2 2) S, is true, S, is false 1) Both S, and S, are correct 3. 3) S, is false, S, is true 4) neither S, nor S, is true 2. 14. The general solution of the equation sin 100 X- Cos 100 x=1 is TT 1) 2nT+,n EI 3 TC 2) Nt +-,n E I 2 TC 4. 3) n+,ne I 4 4) 2nn -,nl 3 4. 15. If logon (2+4 cos x)= 2 then x = TO 1) nTt ;ne Z 2) n -;n E Z 3. 3) nn " :n Z 5. 4) (2n+1)n. 4 5. 16. If sin 20+ cos0= 0 then 0 = TO 1) 2nt-; neZ 2) 2nt+;nEZ 3 2nTt 2nt T 4)- 3) --;ne Z 3 6. 6. 4 6. 17. General solution of 2sm+2 c0sx =2 Sin x 12 is 1) m-ne z TC 1) nt - 4 2) 2nt + nEZ 4 7. 3) nt +(-1)" ;neZ 4) 2ntt";nZ 18. If sin 0,cos0, tan 0 are in G.P., then 0 is equal to (ne Z) 4 7. TO 1) 2nt + 3 TC 2) 2nT + 6. 3) nt +(-1)" 3 19. If1+sinx+sin x+...0 =4+2V3,0