Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2=11
-
Equation log(4/(7-x))/log(x^2)=5
-
Equation 2x-5=7
-
Equation x^4=(x-20)^2
- Express {x} in terms of y where:
- -11*x+6*y=4
- 14*x-13*y=-10
- -14*x-16*y=14
- 16*x-17*y=-9
- Sum of series:
- sinx
- Graphing y =:
- sinx
-
cosx
- Integral of d{x}:
-
sinx
-
cosx
- Derivative of:
-
cosx
-
Identical expressions
- sinx=cosx
- sinus of x equally co sinus of e of x
-
Similar expressions
- cos(x)=0
- cos(x)=-1/3
- sin(x)=1/4
- pitan(x)exp(x)sqrt(x)acos(x)cosh(x)tanh(x)atanh(x)tanh(x)sinh(x)cosh(x)tanh(x)tanh(x)=8
- asin(x)
- sin(x)=√2/2
- cos(x)=(-√3/2)
sinx=cosx equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sin{\left(x \right)} = \cos{\left(x \right)}$$
transform:
$$\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = 1$$
or
$$\tan{\left(x \right)} = 1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-1 \right)}$$
Or
$$x = \pi n - \frac{\pi}{4}$$
, where n - is a integer
$$\sin{\left(x \right)} = \cos{\left(x \right)}$$
transform:
$$\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = 1$$
or
$$\tan{\left(x \right)} = 1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-1 \right)}$$
Or
$$x = \pi n - \frac{\pi}{4}$$
, where n - is a integer
Sum and product of roots
[src]
sum
pi
0 + --
4
$$0 + \frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
product
pi 1*-- 4
$$1 \frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
pi/4
Numerical answer
[src]
x1 = -49.4800842940392
x2 = -36.9137136796801
x3 = -46.3384916404494
x4 = 57.3340659280137
x5 = 22.776546738526
x6 = -24.3473430653209
x7 = -40.0553063332699
x8 = -30.6305283725005
x9 = -96.6039740978861
x10 = 16.4933614313464
x11 = 76.1836218495525
x12 = 51.0508806208341
x13 = 1672.11268987317
x14 = -18.0641577581413
x15 = -2.35619449019234
x16 = -228.550865548657
x17 = -74.6128255227576
x18 = -80.8960108299372
x19 = 73.0420291959627
x20 = 0.785398163397448
x21 = 82.4668071567321
x22 = -52.621676947629
x23 = 85.6083998103219
x24 = 25.9181393921158
x25 = -77.7544181763474
x26 = 44.7676953136546
x27 = 32.2013246992954
x28 = -84.037603483527
x29 = -27.4889357189107
x30 = 88.7499924639117
x31 = -11.7809724509617
x32 = -55.7632696012188
x33 = 35.3429173528852
x34 = 19.6349540849362
x35 = 63.6172512351933
x36 = 95.0331777710912
x37 = 3.92699081698724
x38 = 60.4756585816035
x39 = -58.9048622548086
x40 = 7.06858347057703
x41 = 47.9092879672443
x42 = -5.49778714378214
x43 = -8.63937979737193
x44 = -62.0464549083984
x45 = -90.3207887907066
x46 = -33.7721210260903
x47 = -65.1880475619882
x48 = 41.6261026600648
x49 = 38.484510006475
x50 = -71.4712328691678
x51 = -21.2057504117311
x52 = 66.7588438887831
x53 = 91.8915851175014
x54 = -43.1968989868597
x55 = 101.316363078271
x56 = 98.174770424681
x57 = 79.3252145031423
x58 = 10.2101761241668
x59 = -99.7455667514759
x60 = 69.9004365423729
x61 = -93.4623814442964
x62 = 29.0597320457056
x63 = -14.9225651045515
x64 = 54.1924732744239
x65 = -87.1791961371168
x66 = -68.329640215578
x67 = 13.3517687777566
x67 = 13.3517687777566
The graph