Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation sin(x)=2
-
Equation x^4=(4*x-21)^2
-
Equation sin(x^2)=0
-
Equation (x+2)^2+(x-3)^2=2x^2
- Express {x} in terms of y where:
- -19*x-14*y=-8
- 9*x+8*y=6
- 4*x+15*y=19
- 4*x+16*y=6
- Sum of series:
- sinx
- Graphing y =:
- sinx
- Integral of d{x}:
-
sinx
-
Identical expressions
- sinx= zero , eight thousand, six hundred and thirty-four
- sinus of x equally 0,8634
- sinus of x equally zero , eight thousand, six hundred and thirty minus four
- sinx=O,8634
-
Similar expressions
- sin(x^2)=0
- sin(x)=2
sinx=0,8634 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sin{\left(x \right)} = 0.8634$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(0.8634 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(0.8634 \right)} + \pi$$
Or
$$x = 2 \pi n + 1.04197038243603$$
$$x = 2 \pi n - 1.04197038243603 + \pi$$
, where n - is a integer
$$\sin{\left(x \right)} = 0.8634$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(0.8634 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(0.8634 \right)} + \pi$$
Or
$$x = 2 \pi n + 1.04197038243603$$
$$x = 2 \pi n - 1.04197038243603 + \pi$$
, where n - is a integer
Rapid solution
[src]
x1 = 1.04197038243603
$$x_{1} = 1.04197038243603$$
x2 = 2.09962227115376
$$x_{2} = 2.09962227115376$$
x2 = 2.09962227115376
Sum and product of roots
[src]
sum
1.04197038243603 + 2.09962227115376
$$1.04197038243603 + 2.09962227115376$$
=
3.14159265358979
$$3.14159265358979$$
product
1.04197038243603*2.09962227115376
$$1.04197038243603 \cdot 2.09962227115376$$
=
2.18774422084530
$$2.1877442208453$$
2.18774422084530
Numerical answer
[src]
x1 = -85.8649720293605
x2 = 76.4401940685911
x3 = -79.5817867221809
x4 = -86.9226239180782
x5 = -41.8826748791033
x6 = 52.3651047285905
x7 = 1.04197038243603
x8 = -55.5066973821802
x9 = -74.356253303719
x10 = -35.5994895719238
x11 = -4.18356303602583
x12 = -80.6394386108986
x13 = -1135.15691832835
x14 = 38.7410822255136
x15 = 209.44473740808
x16 = 45.0242675326931
x17 = -30.3739561534619
x18 = 77.4978459573088
x19 = 1063.9579391845
x20 = 57.5906381470523
x21 = -1387.54198250425
x22 = 70.1570087614115
x23 = 82.7233793757707
x24 = -54.4490454934625
x25 = -61.7898826893598
x26 = 7.32515568961562
x27 = -49.2235120750007
x28 = -73.2986014150013
x29 = -42.9403267678211
x30 = 95.2897499901298
x31 = -68.0730679965394
x32 = -99.4889945324373
x33 = -29.3163042647442
x34 = -60.7322308006421
x35 = 20.9491781926925
x36 = 63.8738234542319
x37 = 8.38280757833335
x38 = 33.5155488070517
x39 = -67.0154161078217
x40 = -92.14815733654
x41 = 51.3074528398727
x42 = 58.64829003577
x43 = 89.0065646829502
x44 = -16.749933650385
x45 = 96.3474018788475
x46 = -98.4313426437196
x47 = -23.0331189575646
x48 = 19.8915263039748
x49 = 27.2323634998721
x50 = 32.457896918334
x51 = 26.1747116111544
x52 = 13.6083409967952
x53 = -48.1658601862829
x54 = 71.2146606501292
x55 = -24.0907708462823
x56 = -36.6571414606415
x57 = -93.2058092252578
x58 = -17.8075855391027
x59 = 64.9314753429496
x60 = 83.7810312644884
x61 = 101.572935297309
x62 = 2.09962227115376
x63 = 46.0819194214109
x64 = -11.5244002319231
x65 = 90.064216571668
x66 = -5.24121492474355
x67 = -10.4667483432054
x68 = 39.7987341142313
x69 = -154.980010408336
x70 = 14.6659928855129
x70 = 14.6659928855129