Solve for ? tan(x)=1/( square root of 3)

Solve for ? tan(x)=1/( square root of 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 .
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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 .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Move to the left of .
Add and .
Find the period.
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The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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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
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Name

Name three hundred eighty-four million five hundred sixty-three thousand nine hundred forty-seven

Interesting facts

  • 384563947 has 8 divisors, whose sum is 397496880
  • The reverse of 384563947 is 749365483
  • Previous prime number is 61

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 49
  • Digital Root 4

Name

Name seven hundred thirty-seven million four hundred thousand one hundred forty-one

Interesting facts

  • 737400141 has 16 divisors, whose sum is 831411200
  • The reverse of 737400141 is 141004737
  • Previous prime number is 1381

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 27
  • Digital Root 9

Name

Name two hundred twenty-four million nine hundred eighty-one thousand nine hundred ninety-seven

Interesting facts

  • 224981997 has 16 divisors, whose sum is 308416512
  • The reverse of 224981997 is 799189422
  • Previous prime number is 151

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 51
  • Digital Root 6