Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 2*sin(x)=0
-
Equation 0*x=10
-
Equation (x-5)^2-x^2=3
-
Equation -2*(-y-2)-y-2=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
- two *sin(two *x)*cos(four *x)= one -sin(x)^(two)-cos(x)^(two)
- 2 multiply by sinus of (2 multiply by x) multiply by co sinus of e of (4 multiply by x) equally 1 minus sinus of (x) to the power of (2) minus co sinus of e of (x) to the power of (2)
- two multiply by sinus of (two multiply by x) multiply by co sinus of e of (four multiply by x) equally one minus sinus of (x) to the power of (two) minus co sinus of e of (x) to the power of (two)
- 2*sin(2*x)*cos(4*x)=1-sin(x)(2)-cos(x)(2)
- 2*sin2*x*cos4*x=1-sinx2-cosx2
- 2sin(2x)cos(4x)=1-sin(x)^(2)-cos(x)^(2)
- 2sin(2x)cos(4x)=1-sin(x)(2)-cos(x)(2)
- 2sin2xcos4x=1-sinx2-cosx2
- 2sin2xcos4x=1-sinx^2-cosx^2
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Similar expressions
- 2*sin(2*x)*cos(4*x)=1-sin(x)^(2)+cos(x)^(2)
- 2*sin(2*x)*cos(4*x)=1+sin(x)^(2)-cos(x)^(2)
- 2*sin(2*x)*cos(4*x)=1-sinx^(2)-cosx^(2)
2*sin(2*x)*cos(4*x)=1-sin(x)^(2)-cos(x)^(2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 2 2*sin(2*x)*cos(4*x) = 1 - sin (x) - cos (x)
$$2 \sin{\left(2 x \right)} \cos{\left(4 x \right)} = \left(1 - \sin^{2}{\left(x \right)}\right) - \cos^{2}{\left(x \right)}$$
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-pi
x2 = ----
8
$$x_{2} = - \frac{\pi}{8}$$
pi
x3 = --
8
$$x_{3} = \frac{\pi}{8}$$
x3 = pi/8
Sum and product of roots
[src]
sum
pi pi - -- + -- 8 8
$$- \frac{\pi}{8} + \frac{\pi}{8}$$
=
0
$$0$$
product
-pi pi 0*----*-- 8 8
$$\frac{\pi}{8} \cdot 0 \left(- \frac{\pi}{8}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -65.9734457253857
x2 = 67.9369411338793
x3 = -15.707963267949
x4 = 50.2654824574367
x5 = -2.74889357189107
x6 = -88.3572933822129
x7 = -23.9546439836222
x8 = 18.8495559215388
x9 = -78.1471172580461
x10 = -42.0188017417635
x11 = 48.3019870489431
x12 = 75.398223686155
x13 = -17.6714586764426
x14 = -51.8362787842316
x15 = -89.9280897090078
x16 = -56.1559686829176
x17 = 26.3108384738145
x18 = 78.1471172580461
x19 = 58.1194640914112
x20 = 96.9966731795849
x21 = 21.9911485751286
x22 = -79.717913584841
x23 = 6.28318530717959
x24 = 23.9546439836222
x25 = -31.8086256175967
x26 = -9.8174770424681
x27 = -57.7267650097125
x28 = -87.9645943005142
x29 = -53.7997741927252
x30 = -49.872783375738
x31 = -95.8185759344887
x32 = 34.164820107789
x33 = -1.96349540849362
x34 = 28.2743338823081
x35 = 30.2378292908018
x36 = 80.1106126665397
x37 = -47.1238898038469
x38 = 64.009950316892
x39 = -82.0741080750334
x40 = 31.4159265358979
x41 = 94.2477796076938
x42 = 1.96349540849362
x43 = -100.138265833175
x44 = 9.8174770424681
x45 = 20.0276531666349
x46 = 84.4303025652257
x47 = -29.845130209103
x48 = -35.7356164345839
x49 = 53.4070751110265
x50 = 92.2842841992002
x51 = -86.0010988920206
x52 = -61.6537558266997
x53 = -93.8550805259951
x54 = 74.2201264410589
x55 = -34.164820107789
x56 = 60.0829594999048
x57 = -75.7909227678538
x58 = 16.1006623496477
x59 = 14.1371669411541
x60 = -13.7444678594553
x61 = -37.6991118430775
x62 = -64.009950316892
x63 = 70.2931356240716
x64 = 89.9280897090078
x65 = -67.9369411338793
x66 = 56.1559686829176
x67 = 4.31968989868597
x68 = 8.24668071567321
x69 = 82.0741080750334
x70 = 100.138265833175
x71 = -27.8816348006094
x72 = 36.1283155162826
x73 = 12.1736715326604
x74 = 43.9822971502571
x75 = 38.0918109247762
x76 = -45.9457925587507
x77 = 0.0
x78 = 45.9457925587507
x79 = -21.9911485751286
x80 = -59.2975613365073
x81 = 65.9734457253857
x82 = -20.0276531666349
x83 = 86.0010988920206
x84 = 40.8407044966673
x85 = -12.1736715326604
x86 = -7.85398163397448
x87 = -83.6449044018282
x88 = 42.0188017417635
x89 = -24.7400421470196
x90 = -97.7820713429823
x91 = 52.2289778659303
x92 = -73.8274273593601
x93 = -43.9822971502571
x94 = -39.6626072515711
x95 = -5.89048622548086
x96 = 62.4391539900971
x97 = -71.8639319508665
x98 = 72.2566310325652
x99 = 96.2112750161874
x100 = 87.9645943005142
x100 = 87.9645943005142