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2 2 sin (x) 2 sin (x) + ------- - 2*cos (x) = 0 2
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(0)^2 - 4 * (7/2) * (-2) = 28
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
suma
/ ___\ / ___\ |2*\/ 3 | |2*\/ 3 | - atan|-------| + atan|-------| \ 3 / \ 3 /
=
0
producto
/ ___\ / ___\ |2*\/ 3 | |2*\/ 3 | -atan|-------|*atan|-------| \ 3 / \ 3 /
=
/ ___\ 2|2*\/ 3 | -atan |-------| \ 3 /
-atan(2*sqrt(3)/3)^2
/ ___\ |2*\/ 3 | x1 = -atan|-------| \ 3 /
/ ___\ |2*\/ 3 | x2 = atan|-------| \ 3 /
x2 = atan(2*sqrt(3)/3)
x1 = -17.9924839736886
x2 = -11.709298666509
x3 = -19.7066278693889
x4 = -77.6827443918947
x5 = -61.9747811239457
x6 = -25.9898131765685
x7 = 60.5473323660562
x8 = -2.28452070573966
x9 = 68.2579664311253
x10 = 46.2668178559968
x11 = -91.9632589019541
x12 = -46.2668178559968
x13 = -69.9721103268256
x14 = -27.417261934458
x15 = 54.2641470588766
x16 = -13.4234425622093
x17 = 33.7004472416376
x18 = -60.5473323660562
x19 = -71.3995590847151
x20 = -57.4057397124664
x21 = 3.99866460143992
x22 = 82.5384809411848
x23 = -10.2818499086195
x24 = -54.2641470588766
x25 = 61.9747811239457
x26 = -24.2756692808682
x27 = 77.6827443918947
x28 = -99.6738929670232
x29 = 10.2818499086195
x30 = -76.2552956340052
x31 = 47.980961751697
x32 = -55.6915958167661
x33 = -5.42611335932946
x34 = 8.56770601291925
x35 = -85.6800735947746
x36 = -16.5650352157991
x37 = 98.2464442091337
x38 = -79.396888287595
x39 = 30.5588545880478
x40 = 11.709298666509
x41 = 63.688925019646
x42 = -36.8420398952274
x43 = 19.7066278693889
x44 = -82.5384809411848
x45 = -49.4084105095866
x46 = -90.2491150062539
x47 = -93.3907076598437
x48 = 25.9898131765685
x49 = 96.5323003134335
x50 = -38.5561837909276
x51 = 139.087148705801
x52 = 55.6915958167661
x53 = -39.9836325488172
x54 = 247.328747685744
x55 = 90.2491150062539
x56 = 10595.7349486105
x57 = 16.5650352157991
x58 = 32.2729984837481
x59 = 39.9836325488172
x60 = 38.5561837909276
x61 = 91.9632589019541
x62 = -63.688925019646
x63 = -47.980961751697
x64 = 85.6800735947746
x65 = -68.2579664311253
x66 = 76.2552956340052
x67 = -41.6977764445174
x68 = 41.6977764445174
x69 = -35.4145911373379
x70 = 24.2756692808682
x71 = 2.28452070573966
x72 = -32.2729984837481
x73 = 69.9721103268256
x74 = 83.9659296990743
x75 = -83.9659296990743
x76 = 74.5411517383049
x77 = -98.2464442091337
x78 = -3.99866460143992
x79 = 99.6738929670232
x80 = 17.9924839736886
x81 = -374.706597725036
x82 = -33.7004472416376
x83 = 52.5500031631764
x83 = 52.5500031631764