Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation cos(pi*x)=0
- Equation sinx+|cosx|=sin4x+cos2x
-
Equation sin2x-cos2x=-0,5
- Equation z^4-2z^2+4=0
- Express {x} in terms of y where:
- (x^2+y^2-1)^3+x^2*y^3=0
- -1*x-19*y=-10
- 5*x+5*y=20
- 4*x-16*y=6
-
Identical expressions
- sinx+|cosx|=sin4x+cos2x
- sinus of x plus module of co sinus of e of x| equally sinus of 4x plus co sinus of e of 2x
-
Similar expressions
- sinx+|cosx|=sin4x-cos2x
- sin4x+cos^2x=2sin4xcos^4x
- sinx-|cosx|=sin4x+cos2x
sinx+|cosx|=sin4x+cos2x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
sin(x) + |cos(x)| = sin(4*x) + cos(2*x)
$$\sin{\left(x \right)} + \left|{\cos{\left(x \right)}}\right| = \sin{\left(4 x \right)} + \cos{\left(2 x \right)}$$
Sum and product of roots
[src]
sum
3*pi pi pi - ---- - -- - -- + pi 4 2 4
$$\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) - \frac{\pi}{4}\right) + \pi$$
=
-pi ---- 2
$$- \frac{\pi}{2}$$
product
-3*pi -pi -pi
0*-----*----*----*pi
4 2 4
$$\pi - \frac{\pi}{4} \cdot - \frac{\pi}{2} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-3*pi
x2 = -----
4
$$x_{2} = - \frac{3 \pi}{4}$$
-pi
x3 = ----
2
$$x_{3} = - \frac{\pi}{2}$$
-pi
x4 = ----
4
$$x_{4} = - \frac{\pi}{4}$$
x5 = pi
$$x_{5} = \pi$$
x5 = pi
Numerical answer
[src]
x1 = 65.9734457253857
x2 = -12.0427718387609
x3 = 61.261056745001
x4 = -21.9911485751286
x5 = 21.9911485751286
x6 = -169.646003293849
x7 = -146.084058391925
x8 = -88.7499924639117
x9 = -15.707963267949
x10 = 42.4115008234622
x11 = -17869.3790136187
x12 = -32.2013246992954
x13 = -25.9181393921158
x14 = 36.1283155162826
x15 = 55.7632696012188
x16 = 23.5619449019235
x17 = 6.28318530717959
x18 = -5.75958653158129
x19 = 86.3937979737193
x20 = -69.9004365423729
x21 = -95.8185759344887
x22 = 28.2743338823081
x23 = 18.0641577581413
x24 = -1.5707963267949
x25 = 47.9092879672443
x26 = -18.3259571459405
x27 = 43.1968989868597
x28 = 73.8274273593601
x29 = 31.9395253114962
x30 = 62.0464549083984
x31 = -32.9867228626928
x32 = -33.7721210260903
x33 = -63.6172512351933
x34 = -93.7241808320955
x35 = 10.2101761241668
x36 = 41.6261026600648
x37 = -6291.82468697696
x38 = 72.2566310325652
x39 = 24.3473430653209
x40 = -56.025068989018
x41 = -62.3082542961976
x42 = -51.8362787842316
x43 = -76.1836218495525
x44 = -87.4409955249159
x45 = -87.9645943005142
x46 = -37.6991118430775
x47 = -43.9822971502571
x48 = -57.3340659280137
x49 = 47.1238898038469
x50 = 29.845130209103
x51 = 98.174770424681
x52 = 75.9218224617533
x53 = 80.1106126665397
x54 = -58.1194640914112
x55 = -49.7418836818384
x56 = -100.007366139275
x57 = -81.6814089933346
x58 = -65.9734457253857
x59 = 38.2227106186758
x60 = 69.6386371545737
x61 = 0.0
x62 = -84.037603483527
x63 = 91.106186954104
x64 = -207.345115136926
x65 = -43.4586983746588
x66 = 43.9822971502571
x67 = -7.85398163397448
x68 = 82.2050077689329
x69 = -19.6349540849362
x70 = 91.8915851175014
x71 = -14.1371669411541
x72 = 25.6563400043166
x73 = 50.2654824574367
x74 = 94.2477796076938
x75 = -77.7544181763474
x76 = -59.6902604182061
x77 = -69.1150383789755
x78 = -40.0553063332699
x79 = 3.92699081698724
x80 = 35.3429173528852
x81 = 54.1924732744239
x82 = -26.7035375555132
x83 = 87.9645943005142
x84 = 68.329640215578
x85 = 186.139364725195
x85 = 186.139364725195