Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2-8*x-9=0
-
Equation x^2-15=2*x
-
Equation 3*x^2-2=5*x
-
Equation 6,8-1,3x=0,6x-2,7
- Express {x} in terms of y where:
- 12*x+10*y=14
- -18*x+2*y=12
- -14*x-10*y=16
- 8*x-11*y=18
- Graphing y =:
-
tan(x)
- Derivative of:
-
tan(x)
- Integral of d{x}:
-
tan(x)
-
Identical expressions
- tan(x)=sqrt(twenty-four)
- tangent of (x) equally square root of (24)
- tangent of (x) equally square root of (twenty minus four)
- tan(x)=√(24)
- tanx=sqrt24
-
Similar expressions
- sqrt(24-x*x)=x*x/(2sqrt(3))
- (z+sqrt(2))^4=-16
- sqrt(4,x+3)+sqrt((247/50)-x)=5
- tanx=-sqrt3
- (z+sqrt2)^(4)=-16
- 3*x^2*(tan(x^3)^2+1)*exp(7*x)+7*exp(7*x)*tan(x^3)=0
tan(x)=sqrt(24) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \sqrt{24}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(2 \sqrt{6} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(2 \sqrt{6} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \sqrt{24}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(2 \sqrt{6} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(2 \sqrt{6} \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
/ ___\ atan\2*\/ 6 /
$$\operatorname{atan}{\left(2 \sqrt{6} \right)}$$
=
/ ___\ atan\2*\/ 6 /
$$\operatorname{atan}{\left(2 \sqrt{6} \right)}$$
product
/ ___\ atan\2*\/ 6 /
$$\operatorname{atan}{\left(2 \sqrt{6} \right)}$$
=
/ ___\ atan\2*\/ 6 /
$$\operatorname{atan}{\left(2 \sqrt{6} \right)}$$
atan(2*sqrt(6))
Rapid solution
[src]
/ ___\ x1 = atan\2*\/ 6 /
$$x_{1} = \operatorname{atan}{\left(2 \sqrt{6} \right)}$$
x1 = atan(2*sqrt(6))
Numerical answer
[src]
x1 = 98.7588106672882
x2 = -52.0376367050219
x3 = 64.2012914778004
x4 = -96.019933855279
x5 = -8.05533955476481
x6 = -45.7544513978423
x7 = 57.9181061706208
x8 = -23.7633028227138
x9 = -89.7367485480994
x10 = -30.0464881298934
x11 = 723.935748731657
x12 = -67.7455999729709
x13 = 42.2101429026719
x14 = 86.192440052929
x15 = 70.48447678498
x16 = 73.6260694385698
x17 = -74.0287852801505
x18 = 13.9358090203637
x19 = 35.9269575954923
x20 = -1.77215424758523
x21 = 20.2189943275433
x22 = 321.811889072163
x22 = 321.811889072163