Solve for ? tan(x)=( square root of 3)/3

Solve for ? tan(x)=( square root of 3)/3
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
The exact value of is .
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.
Simplify .
Tap for more steps...
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Move to the left of .
Add and .
Find the period.
Tap for more steps...
The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
Tap for more steps...
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The period of the function is so values will repeat every radians in both directions.
, for any integer
Consolidate the answers.
, for any integer
Do you know how to Solve for ? tan(x)=( square root of 3)/3? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name four hundred sixty-seven million five hundred seventy-five thousand sixty

Interesting facts

  • 467575060 has 16 divisors, whose sum is 1262452716
  • The reverse of 467575060 is 060575764
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 40
  • Digital Root 4

Name

Name two billion one hundred thirty-three million four hundred nineteen thousand seven hundred thirty-nine

Interesting facts

  • 2133419739 has 16 divisors, whose sum is 3133288704
  • The reverse of 2133419739 is 9379143312
  • Previous prime number is 103

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion four hundred forty-two million ninety thousand three hundred seventy-eight

Interesting facts

  • 1442090378 has 8 divisors, whose sum is 2209159872
  • The reverse of 1442090378 is 8730902441
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2