Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation sin(x)=1
-
Equation tan(x)=-1
-
Equation 9-7(x+3)=5-6x
-
Equation sin(x)=-√3/2
- Express {x} in terms of y where:
- 4*x+15*y=19
- 4*x-13*y=13
- -4*x-18*y=-14
- (x^2+y^2-1)^3-x^2*y^3=0
- Integral of d{x}:
-
cosx
- Derivative of:
-
cosx
- Graphing y =:
-
cosx
-
Identical expressions
- cosx= one
- co sinus of e of x equally 1
- co sinus of e of x equally one
-
Similar expressions
- cos(pi/2-9x/2)cos(x/2)+sin(pi+x/2)cos(9x/2)=sin^2(4x)
- 6*cos(x)+sin(5*x)-12*x=x^3+6
cosx=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
$$x = \pi n$$
$$x = \pi n - \pi$$
, 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
$$x = \pi n$$
$$x = \pi n - \pi$$
, where n - is a integer
Sum and product of roots
[src]
sum
0 + 0 + 2*pi
$$\left(0 + 0\right) + 2 \pi$$
=
2*pi
$$2 \pi$$
product
1*0*2*pi
$$1 \cdot 0 \cdot 2 \pi$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -81.6814090382277
x2 = -100.530964626003
x3 = 25.1327408328211
x4 = -75.3982231720141
x5 = -18.8495552124105
x6 = 43.9822971694647
x7 = -50.2654822863493
x8 = 12.5663704426592
x9 = -31.4159260208155
x10 = -4.79511606158654e-7
x11 = 12.5663710110881
x12 = 87.9645938121814
x13 = -69.1150379045123
x14 = 94.2477800892631
x15 = 37.6991113348642
x16 = 87.964594335905
x17 = -87.9645947692094
x18 = -25.1327415297174
x19 = 62.8318527849002
x20 = -69.1150386869085
x21 = 56.5486668532011
x22 = 18.8495564031971
x23 = 56.5486682809363
x24 = 81.6814085860518
x25 = 31.4159260648825
x26 = 43.9822974733639
x27 = 50.2654824463392
x28 = 81.6814091897036
x29 = 12.5663711301703
x30 = 75.3982232188727
x31 = -56.5486682426592
x32 = -31.4159260507536
x33 = 6.28318626747926
x34 = 37.6991120311338
x35 = 0.0
x36 = 56.5486676011951
x37 = -12.5663710889626
x38 = -43.9822967932182
x39 = -50.2654829667315
x40 = 25.1327416384075
x41 = -94.2477797298079
x42 = 50.2654821322586
x43 = -18.8495563230046
x44 = 87.9645946044253
x45 = -81.6814075578313
x46 = -12.5663703112531
x47 = 94.2477792651059
x48 = -94.2477794452815
x49 = 100.530965157364
x50 = 94.2477796093523
x51 = -6.2831851275477
x52 = -81.6814092565354
x53 = 43.9822966661001
x54 = -37.6991121287155
x55 = -56.5486674685864
x56 = -31.4159267157965
x57 = -18.8495555173448
x58 = -81.6814084945807
x59 = 81.6814084860076
x60 = -62.8318534787248
x61 = -37.6991113479743
x62 = 6.28318500093652
x63 = 3.40772025642919e-7
x64 = -94.2477801171671
x65 = 56.5486680806249
x66 = -6.2831858160515
x67 = -62.831852673202
x68 = -6.28318555849548
x69 = 18.8495556275525
x70 = -25.1327407505866
x71 = 6.28318528420851
x72 = 75.3982240031607
x73 = 31.4159268459961
x74 = 62.8318535568358
x75 = 69.1150379887504
x76 = -87.9645943586158
x77 = -43.9822976246252
x78 = -75.3982238741744
x79 = 6.28318579821791
x80 = -50.265482641087
x81 = 37.6991115173992
x82 = 50.2654829439723
x83 = -37.6991118772631
x84 = -87.964593928489
x85 = -43.9822971745392
x86 = 69.115038794053
x87 = -75.3982231045728
x88 = 100.530964759815
x88 = 100.530964759815
The graph