Solve for ? cot(x)=3/4

Solve for ? cot(x)=3/4
Take the inverse cotangent of both sides of the equation to extract from inside the cotangent.
Evaluate .
The cotangent 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 four hundred nineteen million seven hundred seventy-six thousand eight hundred sixty-nine

Interesting facts

  • 1419776869 has 4 divisors, whose sum is 1622602144
  • The reverse of 1419776869 is 9686779141
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 58
  • Digital Root 4

Name

Name six hundred ten million one hundred forty thousand eight hundred ninety-two

Interesting facts

  • 610140892 has 8 divisors, whose sum is 1372817016
  • The reverse of 610140892 is 298041016
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 31
  • Digital Root 4

Name

Name eight hundred fourteen million one hundred fourteen thousand seven hundred eighty-nine

Interesting facts

  • 814114789 has 4 divisors, whose sum is 826265824
  • The reverse of 814114789 is 987411418
  • Previous prime number is 67

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7