Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2*sin(x)=0
-
Equation 0*x=10
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Equation (x-5)^2-x^2=3
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Equation x^2-4x-21=0
- Express {x} in terms of y where:
- -6*x+15*y=-13
- -17*x+14*y=11
- -11*x-3*y=-15
- 9*x-6*y=-20
-
Identical expressions
- three /((two sin^ three (pi+x))+(sqrt(three)/ four cos^ two (pi/ two -x)))-4/(two cos(three pi/2-x)+sqrt(3)/3sin^2(pi+x))= zero
- 3 divide by ((2 sinus of cubed ( Pi plus x)) plus ( square root of (3) divide by 4 co sinus of e of squared ( Pi divide by 2 minus x))) minus 4 divide by (2 co sinus of e of (3 Pi divide by 2 minus x) plus square root of (3) divide by 3 sinus of squared ( Pi plus x)) equally 0
- three divide by ((two sinus of to the power of three ( Pi plus x)) plus ( square root of (three) divide by four co sinus of e of to the power of two ( Pi divide by two minus x))) minus 4 divide by (two co sinus of e of (three Pi divide by 2 minus x) plus square root of (3) divide by 3 sinus of squared ( Pi plus x)) equally zero
- 3/((2sin^3(pi+x))+(√(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2-x)+√(3)/3sin^2(pi+x))=0
- 3/((2sin3(pi+x))+(sqrt(3)/4cos2(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin2(pi+x))=0
- 3/2sin3pi+x+sqrt3/4cos2pi/2-x-4/2cos3pi/2-x+sqrt3/3sin2pi+x=0
- 3/((2sin³(pi+x))+(sqrt(3)/4cos²(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin²(pi+x))=0
- 3/((2sin to the power of 3(pi+x))+(sqrt(3)/4cos to the power of 2(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin to the power of 2(pi+x))=0
- 3/2sin^3pi+x+sqrt3/4cos^2pi/2-x-4/2cos3pi/2-x+sqrt3/3sin^2pi+x=0
- 3/((2sin^3(pi+x))+(sqrt(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin^2(pi+x))=O
- 3 divide by ((2sin^3(pi+x))+(sqrt(3) divide by 4cos^2(pi divide by 2-x)))-4 divide by (2cos(3pi divide by 2-x)+sqrt(3) divide by 3sin^2(pi+x))=0
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Similar expressions
- 3/((2sin^3(pi+x))+(sqrt(3)/4cos^2(pi/2-x)))+4/(2cos(3pi/2-x)+sqrt(3)/3sin^2(pi+x))=0
- 3/((2sin^3(pi+x))+(sqrt(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin^2(pi-x))=0
- 3/((2sin^3(pi+x))-(sqrt(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin^2(pi+x))=0
- 3/((2sin^3(pi-x))+(sqrt(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin^2(pi+x))=0
- 3/((2sin^3(pi+x))+(sqrt(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2-x)-sqrt(3)/3sin^2(pi+x))=0
- 3/((2sin^3(pi+x))+(sqrt(3)/4cos^2(pi/2+x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin^2(pi+x))=0
- 3/((2sin^3(pi+x))+(sqrt(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2+x)+sqrt(3)/3sin^2(pi+x))=0
3/((2sin^3(pi+x))+(sqrt(3)/4cos^2(pi/2-x)))-4/(2cos(3pi/2-x)+sqrt(3)/3sin^2(pi+x))=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3 4
----------------------------------- - ------------------------------------ = 0
___ ___
3 \/ 3 2/pi \ /3*pi \ \/ 3 2
2*sin (pi + x) + -----*cos |-- - x| 2*cos|---- - x| + -----*sin (pi + x)
4 \2 / \ 2 / 3
$$\frac{3}{2 \sin^{3}{\left(x + \pi \right)} + \frac{\sqrt{3}}{4} \cos^{2}{\left(- x + \frac{\pi}{2} \right)}} - \frac{4}{\frac{\sqrt{3}}{3} \sin^{2}{\left(x + \pi \right)} + 2 \cos{\left(- x + \frac{3 \pi}{2} \right)}} = 0$$
Sum and product of roots
[src]
sum
pi pi 2*pi 4*pi - -- + -- + ---- + ---- 3 3 3 3
$$\left(\left(- \frac{\pi}{3} + \frac{\pi}{3}\right) + \frac{2 \pi}{3}\right) + \frac{4 \pi}{3}$$
=
2*pi
$$2 \pi$$
product
-pi pi 2*pi 4*pi ----*--*----*---- 3 3 3 3
$$\frac{4 \pi}{3} \frac{2 \pi}{3} \cdot - \frac{\pi}{3} \frac{\pi}{3}$$
=
4 -8*pi ------ 81
$$- \frac{8 \pi^{4}}{81}$$
-8*pi^4/81
Rapid solution
[src]
-pi
x1 = ----
3
$$x_{1} = - \frac{\pi}{3}$$
pi
x2 = --
3
$$x_{2} = \frac{\pi}{3}$$
2*pi
x3 = ----
3
$$x_{3} = \frac{2 \pi}{3}$$
4*pi
x4 = ----
3
$$x_{4} = \frac{4 \pi}{3}$$
x4 = 4*pi/3
Numerical answer
[src]
x1 = -93.2005820564972
x2 = -68.0678408277789
x3 = -79.5870138909414
x4 = -89.0117918517108
x5 = 63.8790506229925
x6 = 82.7286065445312
x7 = -85.870199198121
x8 = -4.18879020478639
x9 = -16.7551608191456
x10 = 74.3510261349584
x11 = 61.7846555205993
x12 = -35.6047167406843
x13 = 93.2005820564972
x14 = 2.0943951023932
x15 = 33.5103216382911
x16 = -76.4454212373516
x17 = -32.4631240870945
x18 = 30.3687289847013
x19 = -63.8790506229925
x20 = 39.7935069454707
x21 = -70.162235930172
x22 = 70.162235930172
x23 = 38.7463093942741
x24 = 76.4454212373516
x25 = -39.7935069454707
x26 = -77.4926187885482
x27 = 29.3215314335047
x28 = 89.0117918517108
x29 = -96.342174710087
x30 = 85.870199198121
x31 = 98.4365698124802
x32 = -24.0855436775217
x33 = -90.0589894029074
x34 = -41.8879020478639
x35 = 23.0383461263252
x36 = 60.7374579694027
x37 = 90.0589894029074
x38 = -2.0943951023932
x39 = 41.8879020478639
x40 = 26.1799387799149
x41 = 55.5014702134197
x42 = -61.7846555205993
x43 = 71.2094334813686
x44 = 68.0678408277789
x45 = -38.7463093942741
x46 = -13.6135681655558
x47 = -55.5014702134197
x48 = -82.7286065445312
x49 = 77.4926187885482
x50 = -26.1799387799149
x51 = 8.37758040957278
x52 = -64.9262481741891
x53 = 52.3598775598299
x54 = -46.0766922526503
x55 = -33.5103216382911
x56 = 16.7551608191456
x57 = -60.7374579694027
x58 = 5.23598775598299
x59 = -99.4837673636768
x60 = 45.0294947014537
x61 = -27.2271363311115
x62 = 67.0206432765823
x63 = -5.23598775598299
x64 = 96.342174710087
x65 = -11.5191730631626
x66 = 49.2182849062401
x67 = -83.7758040957278
x68 = -54.4542726622231
x69 = 19.8967534727354
x70 = 48.1710873550435
x71 = -49.2182849062401
x72 = -10.471975511966
x73 = 4.18879020478639
x74 = 32.4631240870945
x75 = 11.5191730631626
x76 = 83.7758040957278
x77 = -42.9350995990605
x78 = -71.2094334813686
x79 = -19.8967534727354
x80 = 27.2271363311115
x81 = 54.4542726622231
x82 = -20.943951023932
x83 = 99.4837673636768
x84 = 92.1533845053006
x85 = -48.1710873550435
x86 = 46.0766922526503
x87 = 24.0855436775217
x88 = 10.471975511966
x89 = 17.8023583703422
x90 = -17.8023583703422
x91 = -57.5958653158129
x92 = -92.1533845053006
x93 = -52.3598775598299
x94 = 104.71975511966
x95 = -98.4365698124802
x95 = -98.4365698124802