Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 5*x^2+25*x=0
-
Equation 4*x=0
-
Equation 7*x=0
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Equation 4x+3(x-7)=5
- Express {x} in terms of y where:
- -15*x+3*y=8
- 14*x-17*y=-4
- 18*x-10*y=-9
- 6*x-17*y=-12
- Derivative of:
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2sin2x
- Integral of d{x}:
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2sin2x
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Identical expressions
- one +3cos2x=2sin2x
- 1 plus 3 co sinus of e of 2x equally 2 sinus of 2x
- one plus 3 co sinus of e of 2x equally 2 sinus of 2x
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Similar expressions
- (2sin^2xcosx)/sinx=0
- 2sin^2(x)-9cosx-6=0
- 2*(sin(2x))=sqrt(2)
- 1-3cos2x=2sin2x
1+3cos2x=2sin2x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
1 + 3*cos(2*x) = 2*sin(2*x)
$$3 \cos{\left(2 x \right)} + 1 = 2 \sin{\left(2 x \right)}$$
Rapid solution
[src]
/ ___\ x1 = -atan\1 - \/ 3 /
$$x_{1} = - \operatorname{atan}{\left(1 - \sqrt{3} \right)}$$
/ ___\ x2 = -atan\1 + \/ 3 /
$$x_{2} = - \operatorname{atan}{\left(1 + \sqrt{3} \right)}$$
x2 = -atan(1 + sqrt(3))
Sum and product of roots
[src]
sum
/ ___\ / ___\ - atan\1 - \/ 3 / - atan\1 + \/ 3 /
$$- \operatorname{atan}{\left(1 + \sqrt{3} \right)} - \operatorname{atan}{\left(1 - \sqrt{3} \right)}$$
=
/ ___\ / ___\ - atan\1 + \/ 3 / - atan\1 - \/ 3 /
$$- \operatorname{atan}{\left(1 + \sqrt{3} \right)} - \operatorname{atan}{\left(1 - \sqrt{3} \right)}$$
product
/ ___\ / / ___\\ -atan\1 - \/ 3 /*\-atan\1 + \/ 3 //
$$- \operatorname{atan}{\left(1 - \sqrt{3} \right)} \left(- \operatorname{atan}{\left(1 + \sqrt{3} \right)}\right)$$
=
/ ___\ / ___\ atan\1 + \/ 3 /*atan\1 - \/ 3 /
$$\operatorname{atan}{\left(1 - \sqrt{3} \right)} \operatorname{atan}{\left(1 + \sqrt{3} \right)}$$
atan(1 + sqrt(3))*atan(1 - sqrt(3))
Numerical answer
[src]
x1 = -4.36150956951243
x2 = -57.7685846805389
x3 = 74.1783067702324
x4 = 89.8862700381814
x5 = -95.4676965236164
x6 = -27.6424195699331
x7 = -70.3349552948981
x8 = 98.0212865736587
x9 = -601.264113751573
x10 = -40.2087901842922
x11 = -55.9167534522412
x12 = -73.4765479484879
x13 = 60.3221747305811
x14 = -62.1999387594208
x15 = -20.0694728374614
x16 = -71.6247167201902
x17 = -86.0429185628471
x18 = 201.693844142122
x19 = 22.6230628875036
x20 = -93.6158652953187
x21 = -48.3438067197695
x22 = -77.9079020273698
x23 = 30.1960096199753
x24 = -558.571578026608
x25 = -35.7774361054104
x26 = 23.9128243127957
x27 = 80.461492077412
x28 = 93.0278626917712
x29 = 10.0566922731445
x30 = -5.65127099480452
x31 = 76.0301379985301
x32 = 45.9039728879243
x33 = 8.20486104484674
x34 = 67.8951214630528
x35 = -7.50310222310223
x36 = 88.5965086128893
x37 = 25.7646555410934
x38 = 171.567679031516
x39 = -99.8990506024983
x40 = -79.7597332556675
x41 = -11.9344563019841
x42 = -29.4942507982308
x43 = 14.4880463520263
x44 = 91.7381012664791
x45 = 82.3133233057097
x46 = -42.06062141259
x47 = 54.0389894234016
x48 = 61.6119361558732
x49 = 3.77350696596486
x50 = 69.7469526913505
x51 = 32.047840848273
x52 = 36.4791949271549
x53 = 0.631914312375071
x54 = -84.1910873345494
x55 = 52.1871581951038
x56 = 44.6142114626322
x57 = 47.755804116222
x58 = -65.3415314130106
x59 = -18.2176416091637
x60 = -92.3261038700266
x61 = 58.4703435022834
x62 = -21.3592342627535
x63 = -43.350382837882
x64 = -26.352658144641
x65 = -87.3326799881391
x66 = 1.92167573766715
x67 = 83.6030847310018
x68 = -64.0517699877185
x69 = 39.6207875807447
x70 = 16.339877580324
x71 = 38.3310261554526
x72 = 101.162879227248
x73 = -49.6335681450616
x74 = 66.6053600377607
x75 = -33.9256048771127
x76 = -13.7862875302818
x77 = 96.1694553453609
x78 = -51.4853993733593
x79 = 17.6296390056161
x79 = 17.6296390056161