Mister Exam
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How to use it?
- Equation:
-
Equation cos4x=0
-
Equation sin^2((П/4)-x)=sin^2((П/4)+x)
- Equation 4y+7/2y-3-y-3/2y-3=1
-
Equation ctg(x)=0
- Express {x} in terms of y where:
- 5*x-5*y=20
- 8*x-7*y=-13
- 15*x-15*y=16
- 9*x+18*y=6
-
Identical expressions
- sin^ two ((П/ four)-x)=sin^ two ((П/ four)+x)
- sinus of squared ((П divide by 4) minus x) equally sinus of squared ((П divide by 4) plus x)
- sinus of to the power of two ((П divide by four) minus x) equally sinus of to the power of two ((П divide by four) plus x)
- sin2((П/4)-x)=sin2((П/4)+x)
- sin2П/4-x=sin2П/4+x
- sin²((П/4)-x)=sin²((П/4)+x)
- sin to the power of 2((П/4)-x)=sin to the power of 2((П/4)+x)
- sin^2П/4-x=sin^2П/4+x
- sin^2((П divide by 4)-x)=sin^2((П divide by 4)+x)
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Similar expressions
- sin^2((П/4)+x)=sin^2((П/4)+x)
- sin^2((П/4)-x)=sin^2((П/4)-x)
sin^2((П/4)-x)=sin^2((П/4)+x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2/pi \ 2/pi \
sin |-- - x| = sin |-- + x|
\4 / \4 /
$$\sin^{2}{\left(- x + \frac{\pi}{4} \right)} = \sin^{2}{\left(x + \frac{\pi}{4} \right)}$$
Sum and product of roots
[src]
sum
-pi ---- 2
$$- \frac{\pi}{2}$$
=
-pi ---- 2
$$- \frac{\pi}{2}$$
product
-pi 0*---- 2
$$0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -50.2654824574367
x2 = 94.2477796076938
x3 = -474.380490692059
x4 = 64.4026493985908
x5 = 65.9734457253857
x6 = 20.4203522483337
x7 = -58.1194640914112
x8 = 92.6769832808989
x9 = -15.707963267949
x10 = 81.6814089933346
x11 = 6.28318530717959
x12 = -80.1106126665397
x13 = -31.4159265358979
x14 = 80.1106126665397
x15 = 78.5398163397448
x16 = -87.9645943005142
x17 = -72.2566310325652
x18 = -86.3937979737193
x19 = -37.6991118430775
x20 = -7.85398163397448
x21 = 31.4159265358979
x22 = 12.5663706143592
x23 = -45.553093477052
x24 = -17.2787595947439
x25 = -97.3893722612836
x26 = 72.2566310325652
x27 = 86.3937979737193
x28 = -119.380520836412
x29 = -39.2699081698724
x30 = -89.5353906273091
x31 = -6.28318530717959
x32 = 26.7035375555132
x33 = -20.4203522483337
x34 = -42.4115008234622
x35 = -9.42477796076938
x36 = -1.5707963267949
x37 = 23.5619449019235
x38 = -95.8185759344887
x39 = 36.1283155162826
x40 = 48.6946861306418
x41 = 58.1194640914112
x42 = 100.530964914873
x43 = 0.0
x44 = -65.9734457253857
x45 = -21.9911485751286
x46 = 7.85398163397448
x47 = 73.8274273593601
x48 = 95.8185759344887
x49 = 113.097335529233
x50 = -36.1283155162826
x51 = -23.5619449019235
x52 = -61.261056745001
x53 = 50.2654824574367
x54 = 43.9822971502571
x55 = 1.5707963267949
x56 = -53.4070751110265
x57 = -83.2522053201295
x58 = -51.8362787842316
x59 = -29.845130209103
x60 = 67.5442420521806
x61 = 15.707963267949
x62 = 28.2743338823081
x63 = -64.4026493985908
x64 = -73.8274273593601
x65 = 45.553093477052
x66 = -48.6946861306418
x67 = 21.9911485751286
x68 = 37.6991118430775
x69 = 59.6902604182061
x70 = -28.2743338823081
x71 = 89.5353906273091
x72 = 29.845130209103
x73 = -59.6902604182061
x74 = -40.8407044966673
x75 = 56.5486677646163
x76 = 34.5575191894877
x77 = 42.4115008234622
x78 = -81.6814089933346
x79 = 87.9645943005142
x80 = -43.9822971502571
x81 = 70.6858347057703
x82 = -14.1371669411541
x83 = 590.619418874881
x84 = -94.2477796076938
x85 = 51.8362787842316
x86 = -75.398223686155
x87 = 4.71238898038469
x88 = 14.1371669411541
x89 = -67.5442420521806
x89 = -67.5442420521806
The graph