Question

SHORT ANSWER. Write the word or phrase that best comple Find all solutions of the equation in the interval [0, 27). 19f4-11 2) 2 sin2 - 3 sin 0 - 2 = 0

Answer 1

TIRUPATI PAGE: DATE LS I sin(x - 1) sin(x - 1) sin(x - 1) = n1 + (-1) ni + (-1) ht sint n 2-T 3. fusin o = sind 2 + 0 = n1 + (-)hd ,nez . + for nao + I Il 4 3 xox=0+ (-) M 4 X- 3717 4 7 12 3 12 e [0.211) It for n=1, x = te 12 - 31+ 4 M 137 e fo 121 ) for n=2, E9TH+ x = 2T & + 1 2411 +371 & 4T 12 12 211 46.211) 8TL II + II for n=3, X- 3671-39 & 49 12 BITO €60,271) Therefore solution = 771, 1271 12

Now for 2 sino -3 sino - 2 = 0 asin2o 4 sino + sino - 22 0 Y 2 sino ( sino -2) + 1 (sino-2) = 0 → (sino-z) (2 sino +1) = 0 Sino-2-o or a sino flo sino - 2-0 sino = 2 which is not possible and asino ti asino = -1 Sino = -1 Sino - -sin ( + TE sino sin/ & T sino sin (7 - nT + (-1) (TM (TT e [0.2010) sino = sind O = n1 + (4) a NEZ for n=o, 0= for n=1 ON - 771- $ [0,201) 6 or n=2 o= a1 + 7 1971 6 0 = 3T1 - YTL 6 ne 3 e{o, 21) 6 Therefore solution 77 6 6 Aug.