Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (-5*x-3)*(2*x-1)=0
-
Equation 9*(x-5)=-x
-
Equation 10*(x-9)=7
-
Equation -x=8
- Express {x} in terms of y where:
- -10*x+16*y=-6
- -11*x-14*y=-3
- 4*x-1*y=-3
- -10*x-18*y=15
- Graphing y =:
- cosx+1
- Derivative of:
-
cosx+1
- Integral of d{x}:
-
cosx+1
-
Identical expressions
- cosx+ one = zero
- co sinus of e of x plus 1 equally 0
- co sinus of e of x plus one equally zero
- cosx+1=O
-
Similar expressions
- sin(x)+sqrt(((2-(sqrt(3)))/2)*(cos(x)+1))=0
- cosx-1=0
- b+1/(2*(cos(x)+1))-(cos(x/2)^(2)*log(cos(x/2)))/(cos(x)+1)+(cos(x/2)^(2)*log(sin(x/2)))/(cos(x)+1)=y
cosx+1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cos{\left(x \right)} + 1 = 0$$
- this is the simplest trigonometric equation
We get:
$$\cos{\left(x \right)} = -1$$
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
$$\cos{\left(x \right)} + 1 = 0$$
- this is the simplest trigonometric equation
Move 1 to right part of the equation
with the change of sign in 1
We get:
$$\cos{\left(x \right)} = -1$$
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
Sum and product of roots
[src]
sum
0 + pi
$$0 + \pi$$
=
pi
$$\pi$$
product
1*pi
$$1 \pi$$
=
pi
$$\pi$$
pi
Numerical answer
[src]
x1 = -34.5575188899093
x2 = 59.6902599104079
x3 = 78.5398166181283
x4 = 53.4070746418597
x5 = 15.7079629803241
x6 = 9.42477826738203
x7 = 65.9734457529812
x8 = 97.3893717959212
x9 = -28.2743337069329
x10 = -78.5398168194507
x11 = -53.4070745786761
x12 = -65.9734453607004
x13 = -47.1238901083229
x14 = -65.9734461969855
x15 = -3.14159295109225
x16 = 91.1061873718352
x17 = 3.1415922548952
x18 = -15.7079635641079
x19 = -72.2566308657983
x20 = -21.991148226056
x21 = 21.9911489072506
x22 = 34.5575195449229
x23 = 72.2566306985
x24 = -3.14159217367683
x25 = -53.407075294995
x26 = -9.42477752082051
x27 = -28.2743340989896
x28 = -59.6902599212271
x29 = 78.5398152766482
x30 = 53.4070766553897
x31 = -21.9911490521325
x32 = -9.4247781365785
x33 = 40.8407042062167
x34 = -40.8407049290801
x35 = 21.9911480932338
x36 = -59.6902606928653
x37 = 72.2566310277176
x38 = 15.707963957033
x39 = -78.5398160472843
x40 = 28.2743335663982
x41 = 28.2743338651796
x42 = 47.123889410773
x43 = 65.9734452390837
x44 = -97.3893716284562
x45 = 9.42477748794163
x46 = -65.9734449870253
x47 = -84.8230012511693
x48 = -15.7079632965989
x49 = 28.2743343711514
x50 = 40.8407049800347
x51 = -84.8230020565447
x52 = 59.6902600526626
x53 = -72.2566311847166
x54 = -47.1238893275319
x55 = -59.6902604578012
x56 = 15.7079634518075
x57 = 59.6902606104322
x58 = 84.8230021335997
x59 = -40.8407040952604
x60 = -40.8407049008781
x61 = 21.9911485852059
x62 = -53.4070745963886
x63 = -28.2743343914215
x64 = 40.8407045792514
x65 = -97.3893717476911
x66 = -15.707962774825
x67 = -91.1061864815274
x68 = 91.1061865667532
x69 = 15.7079627593774
x70 = 47.1238902162437
x71 = 65.9734460390947
x72 = -21.9911485864417
x73 = 53.407075424589
x74 = -72.2566315419804
x75 = 34.5575190219169
x76 = 3.14159306054457
x77 = -1127.83176318906
x78 = 97.389372581711
x79 = 78.5398168562347
x80 = -9.42477744529557
x81 = 78.5398149750205
x82 = 34.5575197055812
x83 = 72.2566315166773
x84 = 40.8407045848602
x85 = -91.106187265474
x86 = 78.5398161804942
x87 = 84.8230013636028
x88 = -97.3893724533348
x89 = -65.9734457649277
x90 = -34.5575196658297
x90 = -34.5575196658297
The graph