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 billion eighty-one million one hundred twenty-one thousand five hundred thirty

Interesting facts

  • 2081121530 has 8 divisors, whose sum is 3746018772
  • The reverse of 2081121530 is 0351211802
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 23
  • Digital Root 5

Name

Name one billion two hundred sixty-two million twenty-one thousand nine hundred ten

Interesting facts

  • 1262021910 has 16 divisors, whose sum is 2062199808
  • The reverse of 1262021910 is 0191202621
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 24
  • Digital Root 6

Name

Name three hundred ninety-two million eighty thousand eight hundred twenty-one

Interesting facts

  • 392080821 has 8 divisors, whose sum is 570299424
  • The reverse of 392080821 is 128080293
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 33
  • Digital Root 6