Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2-8*x+17=0
-
Equation 2-3(7+2x)=11
-
Equation x^2-2x+1=0
-
Equation 7+8x=-2x-5
- Express {x} in terms of y where:
- 7*x+19*y=12
- 17*x+20*y=-12
- 18*x-11*y=2
- 2*x-8*y=4
- Limit of the function:
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cos(x^2)
- Integral of d{x}:
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cos(x^2)
- Derivative of:
-
cos(x^2)
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Identical expressions
- cos(x^ two)= zero
- co sinus of e of (x squared ) equally 0
- co sinus of e of (x to the power of two) equally zero
- cos(x2)=0
- cosx2=0
- cos(x²)=0
- cos(x to the power of 2)=0
- cosx^2=0
- cos(x^2)=O
-
Similar expressions
- 2sinx^3+2√2cosx^2+sinx=2√2
- 10cos(x)^(2)-3cos(x)=1
- 6*cos(x)^(2)+7*cos(x)-3=0
- sin(x)*cos(x^2-18^0)^(2)*log(x)=0
cos(x^2)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cos{\left(x^{2} \right)} = 0$$
transform
$$\cos{\left(x^{2} \right)} - 1 = 0$$
$$\cos{\left(x^{2} \right)} - 1 = 0$$
Do replacement
$$w = \cos{\left(x^{2} \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\cos{\left(x^{2} \right)} = w$$
substitute w:
$$\cos{\left(x^{2} \right)} = 0$$
transform
$$\cos{\left(x^{2} \right)} - 1 = 0$$
$$\cos{\left(x^{2} \right)} - 1 = 0$$
Do replacement
$$w = \cos{\left(x^{2} \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\cos{\left(x^{2} \right)} = w$$
substitute w:
Rapid solution
[src]
___ ____
-\/ 2 *\/ pi
x1 = --------------
2
$$x_{1} = - \frac{\sqrt{2} \sqrt{\pi}}{2}$$
___ ____
\/ 2 *\/ pi
x2 = ------------
2
$$x_{2} = \frac{\sqrt{2} \sqrt{\pi}}{2}$$
___ ____
-\/ 6 *\/ pi
x3 = --------------
2
$$x_{3} = - \frac{\sqrt{6} \sqrt{\pi}}{2}$$
___ ____
\/ 6 *\/ pi
x4 = ------------
2
$$x_{4} = \frac{\sqrt{6} \sqrt{\pi}}{2}$$
Sum and product of roots
[src]
sum
___ ____ ___ ____ ___ ____ ___ ____
\/ 2 *\/ pi \/ 2 *\/ pi \/ 6 *\/ pi \/ 6 *\/ pi
0 - ------------ + ------------ - ------------ + ------------
2 2 2 2
$$\left(- \frac{\sqrt{6} \sqrt{\pi}}{2} + \left(\left(- \frac{\sqrt{2} \sqrt{\pi}}{2} + 0\right) + \frac{\sqrt{2} \sqrt{\pi}}{2}\right)\right) + \frac{\sqrt{6} \sqrt{\pi}}{2}$$
=
0
$$0$$
product
___ ____ ___ ____ ___ ____ ___ ____
-\/ 2 *\/ pi \/ 2 *\/ pi -\/ 6 *\/ pi \/ 6 *\/ pi
1*--------------*------------*--------------*------------
2 2 2 2
$$\frac{\sqrt{6} \sqrt{\pi}}{2} - \frac{\sqrt{6} \sqrt{\pi}}{2} \frac{\sqrt{2} \sqrt{\pi}}{2} \cdot 1 \left(- \frac{\sqrt{2} \sqrt{\pi}}{2}\right)$$
=
2 3*pi ----- 4
$$\frac{3 \pi^{2}}{4}$$
3*pi^2/4
Numerical answer
[src]
x1 = 6.2665706865775
x2 = -16.0012437412711
x3 = -17.8569777493103
x4 = -97.7504683154682
x5 = -32.0270198644374
x6 = -93.7978156802077
x7 = 58.181320750246
x8 = 56.1199308198413
x9 = -65.8556653468835
x10 = 92.0738169932802
x11 = 4.15677273792348
x12 = -13.7864555104705
x13 = -76.1639733394572
x14 = -42.0000508927152
x15 = -68.2222069145618
x16 = 22.3146238057912
x17 = -8.7731989612085
x18 = 63.9435910678085
x19 = -3.31595752197827
x20 = -37.7869535826396
x21 = 62.2255007657586
x22 = 36.042316272118
x23 = 2.1708037636748
x24 = -33.7930307841704
x25 = 10.2588183479024
x26 = 16.0012437412711
x27 = -22.2441192889355
x28 = -71.6803654074538
x29 = -67.8759576469418
x30 = 23.5476347720657
x31 = 27.9969170993996
x32 = 114.587462209783
x33 = 68.1530977897007
x34 = 40.1647585280723
x35 = 20.2479095536667
x36 = -92.1420324625326
x37 = 103.115082970798
x38 = -43.9375543883695
x39 = -60.5883736018691
x40 = -7.82694427889971
x41 = -29.8962056111858
x42 = 41.9626343588803
x43 = -69.7703218907394
x44 = -85.7673550856064
x45 = 82.2330723422884
x46 = 18.1189522958733
x47 = -5.16754657023168
x48 = 26.0797777885892
x49 = 54.1251803643413
x50 = 66.1412713071331
x51 = 84.0842093790732
x52 = -47.8726627710821
x53 = -57.7477324384739
x54 = -21.7441875995693
x55 = 67.736962365963
x56 = -79.6323098451313
x57 = 46.0326432528734
x58 = 80.1827248574873
x59 = -53.6295447898027
x60 = 32.1249620498491
x61 = 23.3466555505886
x62 = -75.8953893880049
x63 = 31.3829459563694
x64 = 60.2503967723284
x65 = -63.2520216621303
x66 = 89.4957567168811
x67 = 34.2088185043301
x68 = 36.7757479512029
x69 = -89.407955502065
x70 = 70.1296178457777
x71 = -58.8524077721783
x72 = 13.5566651590649
x73 = -3.7599424119465
x74 = -50.6779241318116
x75 = 96.1791015163645
x76 = -46.338737344997
x77 = 57.4750787320006
x78 = 17.4115964538412
x79 = -74.2423350301113
x80 = -81.792551958106
x81 = -2.1708037636748
x81 = -2.1708037636748
The graph