Solve for x tan(x)=1.5

Solve for x tan(x)=1.5
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 fifty million one hundred seventy-five thousand six hundred sixty-seven

Interesting facts

  • 50175667 has 4 divisors, whose sum is 50215536
  • The reverse of 50175667 is 76657105
  • Previous prime number is 1301

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 8
  • Sum of Digits 37
  • Digital Root 1

Name

Name six hundred nineteen million one hundred seventy-nine thousand five

Interesting facts

  • 619179005 has 8 divisors, whose sum is 743400672
  • The reverse of 619179005 is 500971916
  • Previous prime number is 1987

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 38
  • Digital Root 2

Name

Name one billion two hundred sixty-one million two hundred sixteen thousand nine hundred fifty-six

Interesting facts

  • 1261216956 has 32 divisors, whose sum is 3817138608
  • The reverse of 1261216956 is 6596121621
  • Previous prime number is 113

Basic properties

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