Solve for θ in Radians tan(theta)=-1/( square root of 3)

Solve for θ in Radians tan(theta)=-1/( square root of 3)
Simplify .
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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 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.
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 .
Subtract from .
List the new angles.
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 eight hundred ninety-two million nine hundred eleven thousand four hundred seventy-six

Interesting facts

  • 1892911476 has 32 divisors, whose sum is 5695597440
  • The reverse of 1892911476 is 6741192981
  • Previous prime number is 337

Basic properties

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

Name

Name one billion three hundred ten million seven hundred eighty-two thousand eight hundred sixteen

Interesting facts

  • 1310782816 has 128 divisors, whose sum is 11375724240
  • The reverse of 1310782816 is 6182870131
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name one hundred seventy million seven hundred fifty-four thousand two hundred ninety-eight

Interesting facts

  • 170754298 has 32 divisors, whose sum is 303004800
  • The reverse of 170754298 is 892457071
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7