Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2+9=(x+9)^2
-
Equation 3*x+5+(x+5)=(1-x)+4
-
Equation cos(x)=-1
-
Equation 9x-7=6x+14
- Express {x} in terms of y where:
- -1*x-20*y=-17
- 7*x+13*y=-13
- -13*x+7*y=11
- 9*x+18*y=3
- Derivative of:
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cos(x)
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-1
- Graphing y =:
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cos(x)
- Integral of d{x}:
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cos(x)
-
-1
- Sum of series:
-
-1
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Identical expressions
- cos(x)=- one
- co sinus of e of (x) equally minus 1
- co sinus of e of (x) equally minus one
- cosx=-1
-
Similar expressions
- (sqrt2*sin^2x+cosx-sqrt2)*(sqrt6*sinx)=0
- cos(x)=+1
- sin^2x-4sinx*cosx+3cos^2x=0
- cosx=-1
cos(x)=-1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cos{\left(x \right)} = -1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
Or
$$x = \pi n + \pi$$
$$x = \pi n$$
, where n - is a integer
$$\cos{\left(x \right)} = -1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
Or
$$x = \pi n + \pi$$
$$x = \pi n$$
, where n - is a integer
Numerical answer
[src]
x1 = -91.1061864815274
x2 = -72.2566311847166
x3 = 15.707963957033
x4 = -91.106187265474
x5 = -9.42477752082051
x6 = 78.5398161804942
x7 = 34.5575190219169
x8 = 34.5575197055812
x9 = -65.9734453607004
x10 = -53.4070745786761
x11 = -15.707962774825
x12 = 78.5398168562347
x13 = 72.2566306985
x14 = 91.1061865667532
x15 = 40.8407049800347
x16 = -40.8407049290801
x17 = -65.9734457649277
x18 = 15.7079629803241
x19 = -34.5575188899093
x20 = 78.5398152766482
x21 = -53.4070745963886
x22 = 28.2743343711514
x23 = 53.407075424589
x24 = 65.9734457529812
x25 = 28.2743335663982
x26 = -78.5398160472843
x27 = -59.6902606928653
x28 = 59.6902600526626
x29 = -97.3893724533348
x30 = -47.1238893275319
x31 = 40.8407045848602
x32 = 21.9911480932338
x33 = 97.389372581711
x34 = 53.4070746418597
x35 = -40.8407040952604
x36 = 3.14159306054457
x37 = 40.8407045792514
x38 = 15.7079627593774
x39 = -65.9734449870253
x40 = -1127.83176318906
x41 = 9.42477826738203
x42 = -28.2743340989896
x43 = 72.2566315166773
x44 = 59.6902599104079
x45 = 65.9734452390837
x46 = -72.2566308657983
x47 = -59.6902599212271
x48 = 47.1238902162437
x49 = 91.1061873718352
x50 = -47.1238901083229
x51 = 65.9734460390947
x52 = -3.14159217367683
x53 = -78.5398168194507
x54 = 21.9911489072506
x55 = 84.8230013636028
x56 = 28.2743338651796
x57 = -3.14159295109225
x58 = 78.5398166181283
x59 = -53.407075294995
x60 = 97.3893717959212
x61 = -97.3893716284562
x62 = 84.8230021335997
x63 = -9.42477744529557
x64 = 59.6902606104322
x65 = 15.7079634518075
x66 = -84.8230020565447
x67 = -97.3893717476911
x68 = -9.4247781365785
x69 = 72.2566310277176
x70 = 21.9911485852059
x71 = 78.5398149750205
x72 = 53.4070766553897
x73 = 9.42477748794163
x74 = -72.2566315419804
x75 = -28.2743337069329
x76 = -28.2743343914215
x77 = -21.9911490521325
x78 = -21.9911485864417
x79 = -65.9734461969855
x80 = -34.5575196658297
x81 = -84.8230012511693
x82 = -40.8407049008781
x83 = 3.1415922548952
x84 = 47.123889410773
x85 = 34.5575195449229
x86 = -59.6902604578012
x87 = -21.991148226056
x88 = -15.7079635641079
x89 = 40.8407042062167
x90 = -15.7079632965989
x90 = -15.7079632965989
The graph