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 two hundred seventy-eight million nine hundred sixty-five thousand one hundred sixty-two

Interesting facts

  • 278965162 has 8 divisors, whose sum is 478226016
  • The reverse of 278965162 is 261569872
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1

Name

Name six hundred five million five hundred eighty-three thousand four hundred fifty-five

Interesting facts

  • 605583455 has 8 divisors, whose sum is 726884304
  • The reverse of 605583455 is 554385506
  • Previous prime number is 4651

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 41
  • Digital Root 5

Name

Name nine hundred thirty-five million three hundred eight thousand two hundred sixty-nine

Interesting facts

  • 935308269 has 8 divisors, whose sum is 941184000
  • The reverse of 935308269 is 962803539
  • Previous prime number is 3439

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 45
  • Digital Root 9