Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation sin(x)+cos(x)=-1
-
Equation 3*9^(x-1/2)-7*6^x+3*4^(x+1)=0
-
Equation 13x+10=6x-4
-
Equation (x-2)^4+3*(x-2)^2-10=0
- Express {x} in terms of y where:
- -4*x+6*y=-7
- 2*x+3*y=14
- -14*x-12*y=5
- -11*x+9*y=-20
- Integral of d{x}:
-
sin(5*x)
-
cos(4*x)
- Graphing y =:
- sin(5*x)
- Derivative of:
-
sin(5*x)
-
cos(4*x)
- Limit of the function:
-
cos(4*x)
-
Identical expressions
- sin(five *x)=cos(four *x)
- sinus of (5 multiply by x) equally co sinus of e of (4 multiply by x)
- sinus of (five multiply by x) equally co sinus of e of (four multiply by x)
- sin(5x)=cos(4x)
- sin5x=cos4x
-
Similar expressions
- 8*cos(2x)*cos(4x)*cos(8x)=1
- sin^4x+cos^4x+cos2x=0.5
- sin(x)-sin(2x)+sin(5x)+sin(8x)=0
- sin5x+cos5x=sqrt2cosx
- sinx+sin^3x+2020*sin^5x=cos(2x)+cos^3(2x)+2020*cos^5(2x)
- 2sin*24x-4=3sin4xcos4x-4cos*24x
- 4cos4x+4cos2x+1=0
sin(5*x)=cos(4*x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
-5*pi
x1 = -----
6
$$x_{1} = - \frac{5 \pi}{6}$$
-pi
x2 = ----
6
$$x_{2} = - \frac{\pi}{6}$$
pi
x3 = --
2
$$x_{3} = \frac{\pi}{2}$$
Sum and product of roots
[src]
sum
5*pi pi pi
0 - ---- - -- + --
6 6 2
$$\left(\left(- \frac{5 \pi}{6} + 0\right) - \frac{\pi}{6}\right) + \frac{\pi}{2}$$
=
-pi ---- 2
$$- \frac{\pi}{2}$$
product
-5*pi -pi pi
1*-----*----*--
6 6 2
$$\frac{\pi}{2} - \frac{\pi}{6} \cdot 1 \left(- \frac{5 \pi}{6}\right)$$
=
3 5*pi ----- 72
$$\frac{5 \pi^{3}}{72}$$
5*pi^3/72
Numerical answer
[src]
x1 = 23.2128790515246
x2 = -9.59931088596881
x3 = -91.9788515801012
x4 = 60.2138591938044
x5 = 65.1007810993885
x6 = 76.2708883121522
x7 = -34.0339204138894
x8 = 81.1578102177363
x9 = 12.0427718387609
x10 = 86.0447321233204
x11 = 16.2315620435473
x12 = -73.8274272827467
x13 = -39.6189740202713
x14 = 26.0054058547155
x15 = -27.7507351067098
x16 = 2.26892802759263
x17 = 34.3829862642883
x18 = 69.9877030049726
x19 = -11.693705988362
x20 = -45.9021593274509
x21 = 42.0624349730633
x22 = 67.8933079025794
x23 = -73.1292956585624
x24 = -43.8077642250577
x25 = 56.025068989018
x26 = 20.4203521882517
x27 = -87.7900613753148
x28 = 30.1941960595019
x29 = -64.7517152489896
x30 = 18.3259571459405
x31 = -104.54522219446
x32 = -6.10865238198015
x33 = -85.6956662729216
x34 = -83.6012711705284
x35 = -29.8451301093948
x36 = 51.1381470834339
x37 = -57.7703982410123
x38 = -66.1479786505851
x39 = 72.0820981073658
x40 = -89.884456477708
x41 = -69.6386371545737
x42 = -23.5619449540223
x43 = 74.176493209759
x44 = -55.6760031386191
x45 = 9.94837673636768
x46 = -78.0162175641465
x47 = 95.8185759914842
x48 = 51.8362788484534
x49 = 100.007366139275
x50 = -96.1676417848876
x51 = -94.0732466824944
x52 = 46.2512251778497
x53 = 7.8539817013759
x54 = 53.9306738866248
x55 = 64.4026493358639
x56 = 7.85398191123749
x57 = 44.1568300754565
x58 = -50.0909495322373
x59 = -75.9218224617533
x60 = 4.36332312998582
x61 = 21.8166156499291
x62 = 90.2335223281068
x63 = -47.9965544298441
x64 = -71.733032256967
x65 = 39.9680398706701
x66 = 28.0998009571087
x67 = 0.174532925199433
x68 = -53.5816080362259
x69 = 78.3652834145454
x70 = -15.8824961931484
x71 = -4.01425727958696
x72 = -17.9768912955416
x73 = 48.3456202802429
x74 = 37.873644768277
x75 = -61.9591884457987
x76 = -80.1106126008672
x77 = -67.5442420868592
x78 = 1075.29735215371
x79 = -64.0535835481919
x80 = -13.7881010907552
x81 = 23.9110107523223
x82 = -1.91986217719376
x83 = -59.8647933434055
x84 = 61.6101225953998
x85 = -36.12831520092
x86 = -20.0712863979348
x87 = 32.2885911618951
x88 = 88.1391272257137
x89 = 83.2522052880855
x90 = -22.165681500328
x91 = 97.9129710368819
x92 = -25.6563400043166
x93 = 94.4223125328932
x94 = -41.7133691226645
x95 = 62.3082542961976
x96 = 92.3279174305
x97 = -31.9395253114962
x98 = -99.6583002888762
x99 = 83.9503370209273
x100 = -36.1283154485727
x100 = -36.1283154485727
The graph