Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 7*x=0
-
Equation 3x-2=x+4
-
Equation tan(x)=7
-
Equation (x-3)(x^2-2x+1)=3(x-1)
- Express {x} in terms of y where:
- 18*x-10*y=-9
- 18*x-12*y=-9
- 12*x+11*y=20
- 19*x-12*y=-9
- Limit of the function:
-
tan(x)/2
- Derivative of:
-
tan(x)/2
- Graphing y =:
- cot(x)/2
-
Identical expressions
- tan(x)/ two =cot(x)/ two
- tangent of (x) divide by 2 equally cotangent of (x) divide by 2
- tangent of (x) divide by two equally cotangent of (x) divide by two
- tanx/2=cotx/2
- tan(x) divide by 2=cot(x) divide by 2
-
Similar expressions
- (cos(x)-sin(x))/(cos(x)+sin(x))=tan(x/2)
- cot((x/2)+pi)=0
- tan(x/2)=sqrt(3)
- cos(3*x)*tan(x/2)=(cos(x)-1)/cos(x+pi/2)
- 3*tan(x/2)=sqrt(3)
tan(x)/2=cot(x)/2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
tan(x) cot(x) ------ = ------ 2 2
$$\frac{\tan{\left(x \right)}}{2} = \frac{\cot{\left(x \right)}}{2}$$
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 = -2.35619449019234
x2 = 41.6261026600648
x3 = 99.7455667514759
x4 = -25.9181393921158
x5 = -38.484510006475
x6 = -84.037603483527
x7 = 96.6039740978861
x8 = -96.6039740978861
x9 = -55.7632696012188
x10 = -71.4712328691678
x11 = -79.3252145031423
x12 = -52.621676947629
x13 = 49.4800842940392
x14 = 5.49778714378214
x15 = -87.1791961371168
x16 = -21.2057504117311
x17 = 82.4668071567321
x18 = -11.7809724509617
x19 = 60.4756585816035
x20 = -35.3429173528852
x21 = 38.484510006475
x22 = 44.7676953136546
x23 = 76.1836218495525
x24 = -10.2101761241668
x25 = -77.7544181763474
x26 = 16.4933614313464
x27 = -74.6128255227576
x28 = 69.9004365423729
x29 = 32.2013246992954
x30 = 74.6128255227576
x31 = 68.329640215578
x32 = -16.4933614313464
x33 = 71.4712328691678
x34 = -85.6083998103219
x35 = 22.776546738526
x36 = 11.7809724509617
x37 = -30.6305283725005
x38 = -3.92699081698724
x39 = 90.3207887907066
x40 = -82.4668071567321
x41 = -41.6261026600648
x42 = 63.6172512351933
x43 = -27.4889357189107
x44 = -18.0641577581413
x45 = -62.0464549083984
x46 = 14.9225651045515
x47 = -19.6349540849362
x48 = 80.8960108299372
x49 = -47.9092879672443
x50 = -32.2013246992954
x51 = 24.3473430653209
x52 = -49.4800842940392
x53 = -93.4623814442964
x54 = 47.9092879672443
x55 = -65.1880475619882
x56 = -43.1968989868597
x57 = 8.63937979737193
x58 = 77.7544181763474
x59 = 36.9137136796801
x60 = 54.1924732744239
x61 = -98.174770424681
x62 = 27.4889357189107
x63 = 19.6349540849362
x64 = 85.6083998103219
x65 = -13.3517687777566
x66 = 55.7632696012188
x67 = -76.1836218495525
x68 = -5.49778714378214
x69 = -68.329640215578
x70 = -60.4756585816035
x71 = 84.037603483527
x72 = 3.92699081698724
x73 = 10.2101761241668
x74 = -69.9004365423729
x75 = 58.9048622548086
x76 = 52.621676947629
x77 = -33.7721210260903
x78 = 66.7588438887831
x79 = -54.1924732744239
x80 = 33.7721210260903
x81 = -46.3384916404494
x82 = 46.3384916404494
x83 = -63.6172512351933
x84 = -91.8915851175014
x85 = 2.35619449019234
x86 = 88.7499924639117
x87 = 25.9181393921158
x88 = -24.3473430653209
x89 = 40.0553063332699
x90 = 91.8915851175014
x91 = -90.3207887907066
x92 = 93.4623814442964
x93 = 30.6305283725005
x94 = -40.0553063332699
x95 = 98.174770424681
x96 = 18.0641577581413
x97 = 62.0464549083984
x98 = -7.06858347057703
x99 = -99.7455667514759
x100 = -57.3340659280137
x100 = -57.3340659280137