Solve for x in Degrees 8cos(x)tan(x)=-tan(x)

Solve for x in Degrees 8cos(x)tan(x)=-tan(x)
Rewrite in terms of sines and cosines, then cancel the common factors.
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Add parentheses.
Reorder and .
Rewrite in terms of sines and cosines.
Cancel the common factors.
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Separate fractions.
Rewrite in terms of sines and cosines.
Multiply by the reciprocal of the fraction to divide by .
Write as a fraction with denominator .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify the right side.
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Dividing two negative values results in a positive value.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
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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Move the negative in front of the fraction.
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Simplify the right side.
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Evaluate .
The cosine function is negative in the second and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the third quadrant.
Subtract from .
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 degrees in both directions.
, for any integer
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Name

Name one billion four hundred eighty-one million one hundred ninety-five thousand seven hundred twenty-seven

Interesting facts

  • 1481195727 has 64 divisors, whose sum is 2204928000
  • The reverse of 1481195727 is 7275911841
  • Previous prime number is 79

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 45
  • Digital Root 9

Name

Name two billion sixteen million six hundred twenty-three thousand five hundred seventy-four

Interesting facts

  • 2016623574 has 32 divisors, whose sum is 3588399360
  • The reverse of 2016623574 is 4753266102
  • Previous prime number is 3259

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 36
  • Digital Root 9

Name

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

Interesting facts

  • 1591862901 has 8 divisors, whose sum is 2122910400
  • The reverse of 1591862901 is 1092681951
  • Previous prime number is 5233

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6