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sin(x)-cos(x)=-1

sin(x)-cos(x)=-1 equation

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Numerical solution:

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The solution

You have entered [src]
sin(x) - cos(x) = -1
$$\sin{\left(x \right)} - \cos{\left(x \right)} = -1$$
The graph
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
x2 = -pi/2
Sum and product of roots [src]
sum
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
product
  -pi 
0*----
   2  
$$0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Numerical answer [src]
x1 = -76.9690200129499
x2 = 69.1150383789755
x3 = -50.2654824574367
x4 = 25.1327412287183
x5 = 18.8495559215388
x6 = 213.628300444106
x7 = -70.6858347057703
x8 = 86.3937979737193
x9 = 56.5486677646163
x10 = 94.2477796076938
x11 = 2475.57501102876
x12 = 42.4115008234622
x13 = -81.6814089933346
x14 = -69.1150383789755
x15 = 50.2654824574367
x16 = -39.2699081698724
x17 = -89.5353906273091
x18 = 43.9822971502571
x19 = -58.1194640914112
x20 = 87.9645943005142
x21 = -32.9867228626928
x22 = -83.2522053201295
x23 = 92.6769832808989
x24 = -43.9822971502571
x25 = 177939.807899326
x26 = -6.28318530717959
x27 = -125.663706143592
x28 = -18.8495559215388
x29 = -20.4203522483337
x30 = 61.261056745001
x31 = 98.9601685880785
x32 = 29.845130209103
x33 = -51.8362787842316
x34 = -14.1371669411541
x35 = 81.6814089933346
x36 = -62.8318530717959
x37 = 67.5442420521806
x38 = -26.7035375555132
x39 = 6.28318530717959
x40 = -64.4026493985908
x41 = -94.2477796076938
x42 = -12.5663706143592
x43 = -1.5707963267949
x44 = 23.5619449019235
x45 = 75.398223686155
x46 = -75.398223686155
x47 = -95.8185759344887
x48 = -31.4159265358979
x49 = 36.1283155162826
x50 = 48.6946861306418
x51 = 62.8318530717959
x52 = 80.1106126665397
x53 = 10.9955742875643
x54 = 17.2787595947439
x55 = -56.5486677646163
x56 = 576.482251933727
x57 = -87.9645943005142
x58 = 37.6991118430775
x59 = 205.774318810131
x60 = 4.71238898038469
x61 = -25.1327412287183
x62 = 100.530964914873
x63 = -7.85398163397448
x64 = -37.6991118430775
x65 = 0.0
x66 = 31.4159265358979
x67 = 12.5663706143592
x68 = 73.8274273593601
x69 = -100.530964914873
x70 = -45.553093477052
x71 = 54.9778714378214
x71 = 54.9778714378214
The graph
sin(x)-cos(x)=-1 equation