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 nine hundred twenty-four million three hundred forty-one thousand two hundred sixty

Interesting facts

  • 1924341260 has 32 divisors, whose sum is 5199029712
  • The reverse of 1924341260 is 0621434291
  • Previous prime number is 1613

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 32
  • Digital Root 5

Name

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

Interesting facts

  • 1266892907 has 8 divisors, whose sum is 1483192032
  • The reverse of 1266892907 is 7092986621
  • Previous prime number is 41

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 50
  • Digital Root 5

Name

Name five hundred sixty-one million one hundred thirty-six thousand one hundred sixty-three

Interesting facts

  • 561136163 has 4 divisors, whose sum is 641298480
  • The reverse of 561136163 is 361631165
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 32
  • Digital Root 5