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((65(cosx)^2)+63cosx)/(63(tgx)-16)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
      2                   
65*cos (x) + 63*cos(x)    
---------------------- = 0
    63*tan(x) - 16        
$$\frac{65 \cos^{2}{\left(x \right)} + 63 \cos{\left(x \right)}}{63 \tan{\left(x \right)} - 16} = 0$$
Gráfica
Respuesta rápida [src]
     pi
x1 = --
     2 
$$x_{1} = \frac{\pi}{2}$$
     3*pi
x2 = ----
      2  
$$x_{2} = \frac{3 \pi}{2}$$
         /-63 \
x3 = acos|----|
         \ 65 /
$$x_{3} = \operatorname{acos}{\left(- \frac{63}{65} \right)}$$
x3 = acos(-63/65)
Suma y producto de raíces [src]
suma
pi   3*pi       /-63 \
-- + ---- + acos|----|
2     2         \ 65 /
$$\operatorname{acos}{\left(- \frac{63}{65} \right)} + \left(\frac{\pi}{2} + \frac{3 \pi}{2}\right)$$
=
           /-63 \
2*pi + acos|----|
           \ 65 /
$$\operatorname{acos}{\left(- \frac{63}{65} \right)} + 2 \pi$$
producto
pi 3*pi     /-63 \
--*----*acos|----|
2   2       \ 65 /
$$\frac{\pi}{2} \frac{3 \pi}{2} \operatorname{acos}{\left(- \frac{63}{65} \right)}$$
=
    2     /-63 \
3*pi *acos|----|
          \ 65 /
----------------
       4        
$$\frac{3 \pi^{2} \operatorname{acos}{\left(- \frac{63}{65} \right)}}{4}$$
3*pi^2*acos(-63/65)/4
Respuesta numérica [src]
x1 = 26.7035371232974
x2 = 67.5442424234958
x3 = 64.4026492830033
x4 = -36.1283154465999
x5 = 72.0079210434717
x6 = 51.8362788609124
x7 = -1.57079641092604
x8 = -70.6858341251978
x9 = -58.1194639835698
x10 = 4.71238888002939
x11 = 20.4203521181358
x12 = 80.1106133803283
x13 = 21.742438586035
x14 = 89.535390281152
x15 = -80.1106126015716
x16 = -73.827427294958
x17 = 23.5619452584607
x18 = 48.694686025276
x19 = -64.4026490711763
x20 = -72.5053410216588
x21 = 40.5919945075738
x22 = -66.2221557144792
x23 = -83.2522054049851
x24 = -95.8185758597957
x25 = -17.2787600517124
x26 = -54.9778725497477
x27 = 73.8274275078964
x28 = 98.9601696356448
x29 = -51.836278672319
x30 = 10.9955752719836
x31 = -7.85398146119236
x32 = 53.158365121933
x33 = 65.7247357362921
x34 = 7.85398170753778
x35 = 84.5742916578309
x36 = -29.8451301251808
x37 = -9.6734879498629
x38 = -14.137166819625
x39 = 78.2911063506513
x40 = -61.261057227681
x41 = -59.9389704072996
x42 = 70.6858342974084
x43 = -15.9566732570425
x44 = 1.57079625145839
x45 = -32.986721907759
x46 = 58.1194644360797
x47 = -22.2398585642221
x48 = 9.17606797167586
x49 = -53.65578510012
x50 = -76.9690190862675
x51 = 14.1371668766498
x52 = -97.6380822503771
x53 = 42.4115007448511
x54 = 54.9778724530757
x55 = 17.278760211361
x56 = 28.0256238932146
x57 = -1.57079609589918
x58 = -34.8062291785812
x59 = -86.3937979609074
x60 = -26.7035369570879
x61 = 45.5530933081905
x62 = -67.5442422127483
x63 = -89.5353907211215
x64 = -42.4115008444891
x65 = -10.9955753410297
x66 = -39.2699082635367
x67 = 29.8451303441777
x68 = 32.9867218638559
x69 = 14.1371670469602
x70 = 61.2610573801738
x71 = -91.3548969431975
x72 = -20.4203519064279
x73 = 58.1194642561827
x74 = 92.6769831718872
x75 = 95.8185760135647
x76 = -23.5619450471066
x77 = 76.9690190653085
x78 = 34.3088092003942
x79 = -45.5530935662474
x80 = 86.3937979010987
x80 = 86.3937979010987