Question

2. Find the solution set for each of the following on the interval 0 51 52 15) w A. COS? x = cos B. 2 sin r = sin C. 2 sin - sinx = 3 20 w D. 2 cos(4.r) = 1 E. sin(5x) = -1 F. cos(20) V3 2 ang

Answer 1

Salve (9) Cosm losin! interval (osns?n) o (08²n -Los nao Corn Cloon-lco ( on zo (Coen-)) Coon = Corgo, op and coon 1 3 n 2 Lorna coro n ao So n- 1 +2nn, 30 +2nn, ann "} for any Integer n. Ang (b) asin?n= sinni 2 sinna sinn =0 sinna sinnalao. 2 sinn-1=0 Sinnao Sinn Sino, sin 180 2 sinn a sinna no'n sinna sinas, siniss' 7:30 -- n 4 So, n 2nn, nt2nn, Atzon, 3.4+2013 +2nn forany Integer n.

(c) 2 sinna sinm =3 2 sinna sinn-3-o 2 sinn (3 sinn2sinn) - 320 2 sinn - 3 sinnta sinna 320 sinn (2 sinn-3)+1(25nm-3), 2 0 2 sinn-sgesinnt)) = 0 2 Sinn - 3.0 0 Sinntiao al Sinn - Sinzao Sinn - Sinn 3 / na sin( 3 ) 3 n 2 31 No solution, So, h -4397 2.0in} for any unteger na Ang (0) 2 coslang=1 Cod ang = . (of an - C0860', 08300 an -V, 503 An= 5n tenn 1/3 +2nn 4 na 1 / 2 + 2 n nn 2 درد درتر + nn 2 So, na ( 1 tin SA+an for any integerne 2

(E) Sinin)? sin sn - ) - Sinzao sn = 270 2.31 2.3 112 Sn = 3n 3n+2nn, n . 3 n 16 + anni 5 25m for any integer ni Ans. 16:9 Cos (2n) = کریر و los an = corso, 208330 = ni." 2n ؟ 11 20 2n. 211n +2nn tan 17 + 20n n 12 na in 12 tinn So effe trin, torn, lln tin} forant Integer n. Ang.