Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 1-5*x=-6*x+8
-
Equation sin(x)+cos(x)=-1
-
Equation cos(x/2)=-(1/2)
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Equation sin(x)=3/4
- Express {x} in terms of y where:
- 12*x+14*y=-15
- -20*x-14*y=5
- -10*x-18*y=6
- -11*x+10*y=-9
- Graphing y =:
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tan(x)
- Derivative of:
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tan(x)
-
-2
- Limit of the function:
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tan(x)
- Sum of series:
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-2
- Integral of d{x}:
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-2
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Identical expressions
- tan(x)=- two
- tangent of (x) equally minus 2
- tangent of (x) equally minus two
- tanx=-2
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Similar expressions
- tan(x/2)=0
- tan(x)=+2
- tan(x/2)=-√3/3
tan(x)=-2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = -2$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-2 \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(2 \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = -2$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-2 \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(2 \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
0 - atan(2)
$$- \operatorname{atan}{\left(2 \right)} + 0$$
=
-atan(2)
$$- \operatorname{atan}{\left(2 \right)}$$
product
1*-atan(2)
$$1 \left(- \operatorname{atan}{\left(2 \right)}\right)$$
=
-atan(2)
$$- \operatorname{atan}{\left(2 \right)}$$
-atan(2)
Numerical answer
[src]
x1 = 58.583111700412
x2 = -89.0717430183083
x3 = 46.0167410860528
x4 = 14.6008145501549
x5 = -63.93900178959
x6 = 30.3087778181038
x7 = -4.24874137138388
x8 = 61.7247043540018
x9 = -57.6558164824104
x10 = -70.2221870967695
x11 = 89.9990382363099
x12 = -76.5053724039491
x13 = -26.2398899465124
x14 = -92.2133356718981
x15 = -126.770854861386
x16 = 96.2822235434895
x17 = 68.0078896611814
x18 = 8.31762924297529
x19 = -117.346076900616
x20 = 39.7335557788732
x21 = 80.5742602755405
x22 = -101.638113632667
x23 = 99.4238161970793
x24 = 74.2910749683609
x25 = 24.0255925109243
x26 = -41.9478532144614
x27 = -35.6646679072818
x28 = 2.0344439357957
x29 = 52.2999263932324
x30 = -29.3814826001022
x31 = -13.6735193321533
x32 = 83.7158529291303
x33 = -51.3726311752308
x34 = -85.9301503647185
x35 = -79.6469650575389
x36 = -16.8151119857431
x37 = 36.5919631252834
x38 = -48.231038521641
x39 = -7.39033402497368
x40 = 17.7424072037447
x41 = -19.9567046393328
x41 = -19.9567046393328
The graph