Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 2x-3(x+3)=-5
-
Equation x^2-4x+4=0
-
Equation sin(x)=1/5
-
Equation x^2+3x+2=0
- Express {x} in terms of y where:
- -17*x+2*y=-4
- -13*x+7*y=-15
- -4*x-8*y=-20
- -9*x+11*y=9
- Derivative of:
-
1-sin(x)
- Limit of the function:
-
1-sin(x)
- Integral of d{x}:
-
1-sin(x)
-
Identical expressions
- one -sin(x)= zero
- 1 minus sinus of (x) equally 0
- one minus sinus of (x) equally zero
- 1-sinx=0
- 1-sin(x)=O
-
Similar expressions
- 1+sin(x)=0
- cosx/(1-sinx)=0
- (1-sinx)
- 1-sinx=0
1-sin(x)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$1 - \sin{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$- \sin{\left(x \right)} = -1$$
The equation is transformed to
$$\sin{\left(x \right)} = 1$$
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
Or
$$x = 2 \pi n + \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{\pi}{2}$$
, where n - is a integer
$$1 - \sin{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
Move 1 to right part of the equation
with the change of sign in 1
We get:
$$- \sin{\left(x \right)} = -1$$
Divide both parts of the equation by -1
The equation is transformed to
$$\sin{\left(x \right)} = 1$$
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
Or
$$x = 2 \pi n + \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{\pi}{2}$$
, where n - is a integer
Sum and product of roots
[src]
sum
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
product
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
pi/2
Numerical answer
[src]
x1 = -10.9955746401247
x2 = -80.1106131679426
x3 = 1.57079525114023
x4 = 83.2522056907544
x5 = -61.2610569934486
x6 = -23.5619449492902
x7 = -48.6946857788076
x8 = 14.1371671100222
x9 = 1.57079582971902
x10 = 32.9867225164981
x11 = -54.9778717966574
x12 = -92.6769837307794
x13 = 45.5530922954328
x14 = 39.2699085343272
x15 = 70.6858358251975
x16 = -17.2787583315643
x17 = -29.8451306226524
x18 = 70.6858352127237
x19 = -4.71238942125338
x20 = 1.57079657289894
x21 = 70.6858344802043
x22 = 64.4026492731727
x23 = -80.1106124650157
x24 = -73.8274272798455
x25 = -67.5442415371049
x26 = 58.1194643979608
x27 = 95.8185754266891
x28 = 14.1371673791846
x29 = 95.8185764110282
x30 = -17.2787590920677
x31 = -42.4115017818136
x32 = -48.6946865760795
x33 = 89.5353893728458
x34 = 14.1371665172699
x35 = 45.5530929823099
x36 = 20.4203527610188
x37 = 20.4203521477756
x38 = -61.2610562447228
x39 = 51.8362782775539
x40 = -73.8274269047688
x41 = 32.9867233134552
x42 = -77664.8827844698
x43 = -42.4115013226904
x44 = 64.4026493072124
x45 = -67.5442420547782
x46 = -92.6769829355125
x47 = -29.8451300954883
x48 = 39.2699077336963
x49 = 95.8185760629547
x50 = -86.3937984749131
x51 = -42.4115005850814
x52 = 51.8362789031518
x53 = -73.8274277616689
x54 = 58.1194636580315
x55 = -23.5619450115115
x56 = -23.5619443878998
x57 = 7.85398174307326
x58 = 3017.49974516717
x59 = -67.5442421706656
x60 = -98.9601681513438
x61 = -86.3937988139119
x62 = -36.1283160197768
x63 = 89.5353901350773
x64 = 20.420352160156
x65 = 7.85398112872719
x66 = 26.7035387715281
x67 = 26.7035380604159
x68 = 1.57079769954017
x69 = 64.4026499096387
x70 = 45.553093730794
x71 = 26.703537322248
x72 = -29.8451297624452
x73 = 95.8185759975842
x74 = 76.9690196732095
x75 = 7.85398177249874
x76 = -36.1283153448593
x77 = 76.9690204681432
x78 = -17.2787598356363
x79 = -4.71238862219396
x80 = -10.9955738413568
x81 = 89.535390888605
x82 = -61.2610555612794
x83 = -54.9778709962906
x84 = -36.1283154173375
x85 = -80.1106125781572
x86 = 51.8362788867584
x87 = 83.252204888767
x88 = 58.119464520069
x89 = -86.3937977431483
x90 = -98.9601689530982
x91 = 102.101760799573
x91 = 102.101760799573
The graph