Solve for ? cot(x)=1

Solve for ? cot(x)=1
Take the inverse cotangent of both sides of the equation to extract from inside the cotangent.
The exact value of is .
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 .
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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 four hundred twenty-five million six hundred forty-two thousand eight hundred eighty

Interesting facts

  • 425642880 has 512 divisors, whose sum is 7310231208
  • The reverse of 425642880 is 088246524
  • Previous prime number is 195

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion twelve million five hundred seventy-seven thousand seven hundred forty-eight

Interesting facts

  • 1012577748 has 128 divisors, whose sum is 2961826560
  • The reverse of 1012577748 is 8477752101
  • Previous prime number is 139

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion nine hundred six million nine hundred fifty-one thousand eight hundred eighty-five

Interesting facts

  • 1906951885 has 4 divisors, whose sum is 2288342268
  • The reverse of 1906951885 is 5881596091
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 52
  • Digital Root 7