Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation (x-4)^2+(x+9)^2=2x^2
-
Equation sqrt(x-1)=x
- Equation x^3+11x^2-9x-99=0
- Equation 9x^2-45x=0
- Express {x} in terms of y where:
- -10*x+18*y=6
- 9*x-18*y=6
- -1*x+19*y=-10
- 4*x+13*y=13
- Derivative of:
-
cosx/1+sinx
- Integral of d{x}:
-
cosx/1+sinx
-
Identical expressions
- cosx/ one +sinx= zero
- co sinus of e of x divide by 1 plus sinus of x equally 0
- co sinus of e of x divide by one plus sinus of x equally zero
- cosx/1+sinx=O
- cosx divide by 1+sinx=0
-
Similar expressions
- cosx/1-sinx=0
cosx/1+sinx=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
cos(x) ------ + sin(x) = 0 1
$$\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1} = 0$$
Detail solution
Given the equation
$$\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1} = 0$$
transform:
$$\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = -1$$
or
$$\tan{\left(x \right)} = -1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(1 \right)}$$
Or
$$x = \pi n + \frac{\pi}{4}$$
, where n - is a integer
$$\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1} = 0$$
transform:
$$\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = -1$$
or
$$\tan{\left(x \right)} = -1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(1 \right)}$$
Or
$$x = \pi n + \frac{\pi}{4}$$
, where n - is a integer
Sum and product of roots
[src]
sum
-pi ---- 4
$$- \frac{\pi}{4}$$
=
-pi ---- 4
$$- \frac{\pi}{4}$$
product
-pi ---- 4
$$- \frac{\pi}{4}$$
=
-pi ---- 4
$$- \frac{\pi}{4}$$
-pi/4
Numerical answer
[src]
x1 = -79.3252145031423
x2 = -66.7588438887831
x3 = -73.0420291959627
x4 = -85.6083998103219
x5 = -82.4668071567321
x6 = 24.3473430653209
x7 = -69.9004365423729
x8 = -10.2101761241668
x9 = -29.0597320457056
x10 = 90.3207887907066
x11 = -35.3429173528852
x12 = 93.4623814442964
x13 = -51.0508806208341
x14 = 36.9137136796801
x15 = 74.6128255227576
x16 = 21.2057504117311
x17 = 2.35619449019234
x18 = 87.1791961371168
x19 = 8.63937979737193
x20 = -60.4756585816035
x21 = 5.49778714378214
x22 = -13.3517687777566
x23 = 43.1968989868597
x24 = 18.0641577581413
x25 = 11.7809724509617
x26 = 99.7455667514759
x27 = 71.4712328691678
x28 = -7.06858347057703
x29 = 14.9225651045515
x30 = 55.7632696012188
x31 = -107.59954838545
x32 = -63.6172512351933
x33 = 33.7721210260903
x34 = 77.7544181763474
x35 = -54.1924732744239
x36 = -38.484510006475
x37 = 46.3384916404494
x38 = -47.9092879672443
x39 = 96.6039740978861
x40 = -32.2013246992954
x41 = 30.6305283725005
x42 = -0.785398163397448
x43 = 49.4800842940392
x44 = -88.7499924639117
x45 = -95.0331777710912
x46 = -76.1836218495525
x47 = -3.92699081698724
x48 = 27.4889357189107
x49 = 52.621676947629
x50 = -44.7676953136546
x51 = -41.6261026600648
x52 = -19.6349540849362
x53 = -16.4933614313464
x54 = 40.0553063332699
x55 = 62.0464549083984
x56 = 58.9048622548086
x57 = 351.072979038659
x58 = -57.3340659280137
x59 = -25.9181393921158
x60 = 68.329640215578
x61 = 65.1880475619882
x62 = -22.776546738526
x63 = -98.174770424681
x64 = 80.8960108299372
x65 = 84.037603483527
x66 = -91.8915851175014
x66 = -91.8915851175014