Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2+9=(x+9)^2
-
Equation cos(x)=-1
-
Equation 3*x+50=77
-
Equation 5-2(x-1)=4-x
- Express {x} in terms of y where:
- 10*x+5*y=-17
- 14*x+16*y=-3
- -19*x+1*y=0
- 10*x+18*y=6
- Graphing y =:
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sin(2x)-cos(2x)
- Derivative of:
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3/4
- Sum of series:
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3/4
- Limit of the function:
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3/4
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Identical expressions
- sin(2x)-cos(2x)= three / four
- sinus of (2x) minus co sinus of e of (2x) equally 3 divide by 4
- sinus of (2x) minus co sinus of e of (2x) equally three divide by four
- sin2x-cos2x=3/4
- sin(2x)-cos(2x)=3 divide by 4
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Similar expressions
- sin(2x)+cos(2x)=3/4
- sin^2(x)-cos^2(x)=1
- (x+3)/12-1*(x-3)/4=(x+2)/6
sin(2x)-cos(2x)=3/4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
sin(2*x) - cos(2*x) = 3/4
$$\sin{\left(2 x \right)} - \cos{\left(2 x \right)} = \frac{3}{4}$$
Rapid solution
[src]
/ ____\ x1 = -atan\4 - \/ 23 /
$$x_{1} = - \operatorname{atan}{\left(4 - \sqrt{23} \right)}$$
/ ____\ x2 = -atan\4 + \/ 23 /
$$x_{2} = - \operatorname{atan}{\left(4 + \sqrt{23} \right)}$$
x2 = -atan(4 + sqrt(23))
Sum and product of roots
[src]
sum
/ ____\ / ____\ - atan\4 - \/ 23 / - atan\4 + \/ 23 /
$$- \operatorname{atan}{\left(4 + \sqrt{23} \right)} - \operatorname{atan}{\left(4 - \sqrt{23} \right)}$$
=
/ ____\ / ____\ - atan\4 + \/ 23 / - atan\4 - \/ 23 /
$$- \operatorname{atan}{\left(4 + \sqrt{23} \right)} - \operatorname{atan}{\left(4 - \sqrt{23} \right)}$$
product
/ ____\ / / ____\\ -atan\4 - \/ 23 /*\-atan\4 + \/ 23 //
$$- \operatorname{atan}{\left(4 - \sqrt{23} \right)} \left(- \operatorname{atan}{\left(4 + \sqrt{23} \right)}\right)$$
=
/ ____\ / ____\ atan\4 + \/ 23 /*atan\4 - \/ 23 /
$$\operatorname{atan}{\left(4 - \sqrt{23} \right)} \operatorname{atan}{\left(4 + \sqrt{23} \right)}$$
atan(4 + sqrt(23))*atan(4 - sqrt(23))
Numerical answer
[src]
x1 = 51.9494829329178
x2 = -79.9974085178535
x3 = -77.8676223250336
x4 = -48.5814819819556
x5 = -93.5755855929826
x6 = 73.9406315080464
x7 = -11.894176599648
x8 = -36.0151113675964
x9 = -7.74077748528825
x10 = -71.584437017854
x11 = 36.2415196649689
x12 = 95.9317800831749
x13 = -92.5637791322127
x14 = -45.4398893283658
x15 = -124.991512128881
x16 = 72.9288250472765
x17 = 17.3919637434301
x18 = 23.6751490506097
x19 = -49.5932884427255
x20 = 82.3536030080458
x21 = -20.3071480996474
x22 = 69.7872323936867
x23 = -21.3189545604173
x24 = 58.2326682400974
x25 = 64.515853547277
x26 = -5.61099129246837
x27 = -99.8587709001622
x28 = -43.3101031355459
x29 = 3.81378666830101
x30 = 45.6662976257382
x31 = 61.3742608936872
x32 = -23.4487407532372
x33 = -4.59918483169846
x34 = -14.0239627924678
x35 = -55.8764737499051
x36 = 14.2503710898403
x37 = 76.0704177008663
x38 = -40.1685104819561
x39 = -87.292400285803
x40 = 60.3624544329173
x41 = 47.7960838185581
x42 = 94.919973622405
x43 = 44.6544911649683
x44 = 67.6574462008668
x45 = 29.9583343577893
x46 = 83.3654094688158
x47 = -18.1773619068275
x48 = -64.2894452499045
x49 = 32.0881205506091
x50 = -73.7142232106739
x51 = -70.5726305570841
x52 = 1.68400047548113
x53 = 0.672194014711217
x54 = 16.3801572826602
x55 = -65.3012517106744
x56 = -90.4339929393928
x57 = 54.0792691257377
x58 = 89.6485947759953
x59 = 88.6367883152254
x60 = -29.7319260604168
x61 = -86.2805938250331
x62 = 25.8049352434296
x63 = 80.223816815226
x64 = -51.7230746355454
x65 = 4.82559312907092
x66 = 66.6456397400969
x67 = 42.5247049721484
x68 = -59.0180664034949
x69 = -27.6021398675969
x70 = -33.8853251747765
x71 = -67.4310379034943
x72 = 86.5070021224056
x73 = -58.0062599427249
x74 = -101.988557092982
x75 = -62.1596590570846
x76 = 91.7783809688152
x77 = -84.1508076322132
x78 = 7.96718578266071
x79 = 38.3713058577887
x80 = 98.0615662759948
x81 = -1.45759217810867
x82 = -95.7053717858025
x83 = 20.5335563970199
x84 = -26.590333406827
x85 = -42.298296674776
x86 = -322.911849305037
x87 = 39.3831123185586
x88 = 22.6633425898398
x89 = 10.0969719754806
x89 = 10.0969719754806