Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -x/12+x=55/12
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Equation x^2-2x+5=0
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Equation cos(x)=2/3
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Equation 4x+1=-3x+15
- Express {x} in terms of y where:
- 17*x+20*y=-12
- -4*x+6*y=-7
- 2*x+3*y=14
- 10*x-16*y=-6
-
Identical expressions
- four sinx+cosx=4
- 4 sinus of x plus co sinus of e of x equally 4
- four sinus of x plus co sinus of e of x equally 4
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Similar expressions
- 4sinx-cosx=4
4sinx+cosx=4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4*sin(x) + cos(x) = 4
$$4 \sin{\left(x \right)} + \cos{\left(x \right)} = 4$$
Sum and product of roots
[src]
sum
pi -- + 2*atan(3/5) 2
$$2 \operatorname{atan}{\left(\frac{3}{5} \right)} + \frac{\pi}{2}$$
=
pi -- + 2*atan(3/5) 2
$$2 \operatorname{atan}{\left(\frac{3}{5} \right)} + \frac{\pi}{2}$$
product
pi --*2*atan(3/5) 2
$$\frac{\pi}{2} \cdot 2 \operatorname{atan}{\left(\frac{3}{5} \right)}$$
=
pi*atan(3/5)
$$\pi \operatorname{atan}{\left(\frac{3}{5} \right)}$$
pi*atan(3/5)
Rapid solution
[src]
pi
x1 = --
2
$$x_{1} = \frac{\pi}{2}$$
x2 = 2*atan(3/5)
$$x_{2} = 2 \operatorname{atan}{\left(\frac{3}{5} \right)}$$
x2 = 2*atan(3/5)
Numerical answer
[src]
x1 = 7.85398163397448
x2 = -86.3937979737193
x3 = -68.0341993784343
x4 = -86.883755299973
x5 = 45.0631361507983
x6 = 447.186995810292
x7 = 58.1194640914112
x8 = 1.08083900054117
x9 = 35086.8775516176
x10 = -11.485531613818
x11 = -4.71238898038469
x12 = -49.1846434568955
x13 = -67.5442420521806
x14 = -36.6182728425363
x15 = 83.2522053201295
x16 = -29.845130209103
x17 = 32.4967655364391
x18 = -98.9601685880785
x19 = 19.9303949220799
x20 = 95.328618608235
x21 = 26.7035375555132
x22 = 26.2135802292595
x23 = -48.6946861306418
x24 = 57.6295067651574
x25 = -17.2787595947439
x26 = -99.4501259143322
x27 = -55.4678287640751
x28 = 20.4203522483337
x29 = -93.1669406071526
x30 = 14.1371669411541
x31 = -80.6005699927935
x32 = -118.299681835871
x33 = -30.3350875353568
x34 = -74.3173846856139
x35 = -15090.6403115186
x36 = 101.611803915415
x37 = 39.2699081698724
x38 = 89.5353906273091
x39 = 45.553093477052
x40 = 70.6858347057703
x41 = 76.9690200129499
x42 = 32.9867228626928
x43 = -23.5619449019235
x44 = 64.4026493985908
x45 = 70.1958773795166
x46 = -36.1283155162826
x47 = -61.7510140712547
x48 = -124.092909816797
x49 = -10.9955742875643
x50 = 1.5707963267949
x51 = 76.4790626866962
x52 = -73.8274273593601
x53 = -92.6769832808989
x54 = -54.9778714378214
x55 = 7453.42857064178
x56 = 38.7799508436187
x57 = 82.7622479938758
x58 = 89.0454333010554
x59 = -24.0519022281772
x60 = 13.6472096149003
x61 = 63.912692072337
x62 = -17.7687169209976
x63 = -42.9014581497159
x64 = -61.261056745001
x65 = 7.36402430772076
x66 = -42.4115008234622
x67 = -80.1106126665397
x68 = 51.3463214579779
x69 = 51.8362787842316
x70 = 95.8185759344887
x71 = -5.20234630663842
x71 = -5.20234630663842