Solve for θ in Degrees tan(theta)=(- square root of 3)/3

Solve for θ in Degrees tan(theta)=(- square root of 3)/3
Move the negative in front of the fraction.
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Simplify the right side.
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The exact value of is .
The tangent function is negative in the second and fourth quadrants. To find the second solution, subtract the reference angle from to find the solution in the third quadrant.
Simplify the expression to find the second solution.
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Add to .
The resulting angle of is positive and coterminal with .
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 .
Add to every negative angle to get positive angles.
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Add to to find the positive angle.
Subtract from .
List the new angles.
The period of the function is so values will repeat every degrees in both directions.
, for any integer
Consolidate the answers.
, for any integer
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Name

Name two billion one hundred thirty-four million five hundred sixty-nine thousand eight hundred eighty-two

Interesting facts

  • 2134569882 has 32 divisors, whose sum is 4419334080
  • The reverse of 2134569882 is 2889654312
  • Previous prime number is 1931

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3

Name

Name one hundred fifty-eight million one hundred sixty-one thousand one hundred six

Interesting facts

  • 158161106 has 8 divisors, whose sum is 237295344
  • The reverse of 158161106 is 601161851
  • Previous prime number is 9931

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 29
  • Digital Root 2

Name

Name one billion three hundred ninety-three million ten thousand six hundred ninety-six

Interesting facts

  • 1393010696 has 64 divisors, whose sum is 4787552952
  • The reverse of 1393010696 is 6960103931
  • Previous prime number is 193

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2