Solve for x tan(x)=5/6

Solve for x tan(x)=5/6
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Evaluate .
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 the expression to find the second solution.
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Remove the parentheses around the expression .
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 one billion fifty-eight million one hundred twenty-six thousand nine hundred sixteen

Interesting facts

  • 1058126916 has 128 divisors, whose sum is 3989274624
  • The reverse of 1058126916 is 6196218501
  • Previous prime number is 9017

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion five hundred sixty-one million two hundred thousand six hundred ninety-eight

Interesting facts

  • 1561200698 has 4 divisors, whose sum is 2341801050
  • The reverse of 1561200698 is 8960021651
  • Previous prime number is 2

Basic properties

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

Name

Name one billion five hundred sixty-six million eight hundred forty-four thousand four hundred ninety-nine

Interesting facts

  • 1566844499 has 16 divisors, whose sum is 1751984640
  • The reverse of 1566844499 is 9944486651
  • Previous prime number is 283

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 56
  • Digital Root 2