Solve for x in Radians square root of 3cot(x)=1

Solve for x in Radians square root of 3cot(x)=1
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Take the inverse cotangent of both sides of the equation to extract from inside the cotangent.
Simplify the right side.
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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 .
Combine fractions.
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Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Move to the left of .
Add and .
Find the period of .
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The period of the function can be calculated using .
Replace with in the formula for period.
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 two billion one hundred forty-seven million ninety-two thousand forty

Interesting facts

  • 2147092040 has 32 divisors, whose sum is 8695722924
  • The reverse of 2147092040 is 0402907412
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2

Name

Name one billion four hundred thirty-one million nine hundred seventy-two thousand eight hundred forty

Interesting facts

  • 1431972840 has 128 divisors, whose sum is 7773262848
  • The reverse of 1431972840 is 0482791341
  • Previous prime number is 191

Basic properties

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

Name

Name one billion six hundred seventy-seven million nine hundred sixty-nine thousand one hundred fifty-four

Interesting facts

  • 1677969154 has 32 divisors, whose sum is 2820312000
  • The reverse of 1677969154 is 4519697761
  • Previous prime number is 89

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 55
  • Digital Root 1