Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^4-10x^2+25=0
-
Equation 2(4-x)(x+5)=x-x^2
-
Equation x^2+5x+9=0
- Equation sin2xcosx-sinxcos2x=1
- Express {x} in terms of y where:
- -16*x-7*y=-5
- 14*x+16*y=14
- -6*x+17*y=14
- (x^2+y^2-1)^3-x^2*y^3=0
-
Identical expressions
- (cos2x+ one)tg^2x- one = zero
- ( co sinus of e of 2x plus 1)tg squared x minus 1 equally 0
- ( co sinus of e of 2x plus one)tg squared x minus one equally zero
- (cos2x+1)tg2x-1=0
- cos2x+1tg2x-1=0
- (cos2x+1)tg²x-1=0
- (cos2x+1)tg to the power of 2x-1=0
- cos2x+1tg^2x-1=0
- (cos2x+1)tg^2x-1=O
-
Similar expressions
- (cos2x+1)tg^2x+1=0
- (cos2x-1)tg^2x-1=0
(cos2x+1)tg^2x-1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 (cos(2*x) + 1)*tan (x) - 1 = 0
$$\left(\cos{\left(2 x \right)} + 1\right) \tan^{2}{\left(x \right)} - 1 = 0$$
Rapid solution
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
x2 = pi/4
Sum and product of roots
[src]
sum
pi pi - -- + -- 4 4
$$- \frac{\pi}{4} + \frac{\pi}{4}$$
=
0
$$0$$
product
-pi pi ----*-- 4 4
$$- \frac{\pi}{4} \frac{\pi}{4}$$
=
2 -pi ----- 16
$$- \frac{\pi^{2}}{16}$$
-pi^2/16
Numerical answer
[src]
x1 = 10.2101761241668
x2 = 96.6039740978861
x3 = 68.329640215578
x4 = -91.8915851175014
x5 = 3.92699081698724
x6 = 99.7455667514759
x7 = -3.92699081698724
x8 = -11.7809724509617
x9 = -24.3473430653209
x10 = -54.1924732744239
x11 = 63.6172512351933
x12 = 98.174770424681
x13 = -10.2101761241668
x14 = -16.4933614313464
x15 = 69.9004365423729
x16 = -76.1836218495525
x17 = -25.9181393921158
x18 = 41.6261026600648
x19 = 77.7544181763474
x20 = -33.7721210260903
x21 = -57.3340659280137
x22 = 87.1791961371168
x23 = -46.3384916404494
x24 = 1021.80301058008
x25 = -18.0641577581413
x26 = 27.4889357189107
x27 = -69.9004365423729
x28 = 44.7676953136546
x29 = -82.4668071567321
x30 = 2.35619449019234
x31 = -19.6349540849362
x32 = -49.4800842940392
x33 = 24.3473430653209
x34 = -68.329640215578
x35 = 384.059701901352
x36 = 60.4756585816035
x37 = -85.6083998103219
x38 = -77.7544181763474
x39 = -90.3207887907066
x40 = 90.3207887907066
x41 = 74.6128255227576
x42 = 40.0553063332699
x43 = 30.6305283725005
x44 = -93.4623814442964
x45 = 8.63937979737193
x46 = -5.49778714378214
x47 = -98.174770424681
x48 = -62.0464549083984
x49 = 19.6349540849362
x50 = 84.037603483527
x51 = -63.6172512351933
x52 = 54.1924732744239
x53 = 88.7499924639117
x54 = -99.7455667514759
x55 = 82.4668071567321
x56 = -71.4712328691678
x57 = -35.3429173528852
x58 = 33.7721210260903
x59 = 46.3384916404494
x60 = 162.577419823272
x61 = -32.2013246992954
x62 = 11.7809724509617
x63 = -41.6261026600648
x64 = -27.4889357189107
x65 = 85.6083998103219
x66 = 66.7588438887831
x67 = 47.9092879672443
x68 = -38.484510006475
x69 = 18.0641577581413
x70 = -55.7632696012188
x71 = -60.4756585816035
x72 = -47.9092879672443
x73 = 52.621676947629
x74 = 55.7632696012188
x75 = 62.0464549083984
x76 = 32.2013246992954
x77 = 49.4800842940392
x78 = 22.776546738526
x79 = -84.037603483527
x80 = 38.484510006475
x81 = -79.3252145031423
x82 = -13.3517687777566
x83 = 76.1836218495525
x84 = 5.49778714378214
x85 = -2.35619449019234
x86 = 25.9181393921158
x87 = -40.0553063332699
x88 = 16.4933614313464
x89 = 91.8915851175014
x89 = 91.8915851175014