Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 3*x/3=(1-x)/2
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Equation tan(x)=-5
-
Equation x^2=-81
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Equation sqrt(x-2)=x-4
- Express {x} in terms of y where:
- -13*x+15*y=1
- 11*x-6*y=-1
- -8*x-15*y=-12
- 18*x-15*y=-7
- Graphing y =:
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tan(x)
- Derivative of:
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tan(x)
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-5
- Integral of d{x}:
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tan(x)
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-5
- -5
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Identical expressions
- tan(x)=- five
- tangent of (x) equally minus 5
- tangent of (x) equally minus five
- tanx=-5
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Similar expressions
- tan(x)=+5
- 3*tan(x/2)=sqrt(3)
- cos(3*x)*tan(x/2)=(cos(x)-1)/cos(x+pi/2)
tan(x)=-5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = -5$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-5 \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(5 \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = -5$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-5 \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(5 \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
-atan(5)
$$- \operatorname{atan}{\left(5 \right)}$$
=
-atan(5)
$$- \operatorname{atan}{\left(5 \right)}$$
product
-atan(5)
$$- \operatorname{atan}{\left(5 \right)}$$
=
-atan(5)
$$- \operatorname{atan}{\left(5 \right)}$$
-atan(5)
Numerical answer
[src]
x1 = 74.02482291921
x2 = 30.0425257689529
x3 = -13.9397713813042
x4 = -20.2229566884838
x5 = -51.6388832243817
x6 = 36.3257110761325
x7 = -7.6565860741246
x8 = -35.9309199564327
x9 = 45.7504890369019
x10 = 14.3345625010039
x11 = -29.6477346492532
x12 = 96.0159714943386
x13 = -79.9132171066898
x14 = -73.6300317995103
x15 = 80.3080082263896
x16 = 52.0336743440815
x17 = 58.3168596512611
x18 = 8.05137719382436
x19 = 2659.55557682361
x20 = -57.9220685315613
x21 = -95.6211803746388
x21 = -95.6211803746388
The graph