Solve for θ in Degrees tan(theta)=-5

Solve for θ in Degrees tan(theta)=-5
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Simplify the right side.
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Evaluate .
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 and to .
, for any integer
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Name

Name one billion six hundred eighteen million five hundred ninety-eight thousand eight hundred thirty-four

Interesting facts

  • 1618598834 has 4 divisors, whose sum is 2427898254
  • The reverse of 1618598834 is 4388958161
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 53
  • Digital Root 8

Name

Name six hundred eighty million six hundred forty thousand six hundred ninety-one

Interesting facts

  • 680640691 has 8 divisors, whose sum is 685339200
  • The reverse of 680640691 is 196046086
  • Previous prime number is 389

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 40
  • Digital Root 4

Name

Name eight hundred sixteen million eight hundred forty-three thousand five hundred ten

Interesting facts

  • 816843510 has 32 divisors, whose sum is 1496309760
  • The reverse of 816843510 is 015348618
  • Previous prime number is 1319

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 36
  • Digital Root 9